微積分
極限、導數、最優化與函數性質。
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which statement best describes how the authors purpose differs in chapt…
Nature portrays the world of nature as superior to the social world, while Society and Solitude argues that nature can help individuals be more content within society.
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use the function below to answer parts (a)-(c). $f(x)=x^{2}-4$ (a) use …
(a) \(f^{\prime}(1)=2\) (b) \(f(1)=-3\), equation of the tangent line \(y = 2x-5\)
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use the function below to answer parts (a)-(c). $f(x)=x^{2}-4$ (a) use …
The equation of the tangent line is \(y = 2x-5\)
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use the function below to answer parts (a)-(c). $f(x)=x^{2}-4$ (a) use …
\(-3\)
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evaluate the derivative of the function. y = sec^{-1}(9 ln 3x) \\frac{d…
\(\frac{1}{x\vert\ln(3x)\vert\sqrt{81(\ln(3x))^{2}-1}}\)
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use the function below to answer parts (a)-(c). $f(x)=x^{2}-4$ (a) use …
\(2\)
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which of the following statements accurately describes the free enterpr…
A. Businesses are generally free of government ownership and control.
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evaluate the derivative of the function. ( y=sec ^{-1}(9 ln 7 x) ) to f…
\(\frac{1}{x\ln(7x)\sqrt{81(\ln(7x))^{2}-1}}\)
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help me solve this | 2 parts remaining evaluate the derivative of the f…
\(\frac{9}{x}\)
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let ( f(x)=c x+ln (cos (x)) ). for what value of ( c ) is ( f^{prime}le…
\(3\)
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the effect of the first difference is, on the one hand, to refine and e…
- Representatives of the people. - No. - Large Republic. - Large Republic.
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evaluate the derivative of the function. $y = \\sec^{-1}(9\\ln 7x)$ $\\…
\(\frac{1}{x\ln(7x)\sqrt{81(\ln(7x))^{2}-1}}\)
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evaluate the derivative of the function. ( y=sec ^{-1}(9 ln 7 x) ) ( \f…
\(\frac{9}{x|9\ln(7x)|\sqrt{(9\ln(7x))^{2}-1}}\) (or \(\frac{1}{x\ln(7x)\sqrt{(9\ln(7x))^{2}-1}}\) when \(9\ln(7x)>0\))
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6. if ( f(x)=3 e^{x}+pi^{3}-e^{4} ), (a) ( 3 e^{x}+3 pi^{2}-4 e^{3} ) 7…
C. 2
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use the function below to answer parts (a)-(c). $f(x)=\\frac{2}{x}$ (a)…
\(f^{\prime}(5)=-\frac{2}{25}\)
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find the derivative of the function. f(t) = e^{mt} cos(nt)
\(e^{mt}(m\cos(nt)-n\sin(nt))\)
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evaluate the derivative of the following function. $f(t)=\\ln(\\tan^{-1…
\(\frac{6t}{(1 + 9t^{4})\tan^{-1}(3t^{2})}\)
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question help: find a formula for the exponential function passing thro…
\(y = 4\sqrt{2}\times(\sqrt{2})^{x}\)
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hw 20 - absolute extrema section 3.6: problem 10 (1 point) an employees…
\(3978.000\)
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hw 20 - absolute extrema section 3.6: problem 9 (1 point) find the extr…
Absolute minimum value: \(4\sqrt{5}\), located at \(x=\frac{\sqrt{5}}{2}\). Absolute maximum value: none, located at \(x = \) none.
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hw 20 - absolute extrema section 3.6: problem 8 (1 point) find the abso…
absolute maximum is none and it occurs at \(x=\) none; absolute minimum is \(-11\) and it occurs at \(x=-1\)
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consider the function ( f(x)=x e^{-2 x}, quad 0 leq x leq 2 ). this fun…
The absolute minimum value is \(0\) which is attained at \(x = 0\), and the absolute maximum value is \(\frac{1}{2e}\approx0.184\) which is attained at \(x=\frac{1}{2}\)
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find the derivative of the function. $f(t)=e^{6tsin(2t)}$
\(6e^{6t\sin(2t)}(\sin(2t)+2t\cos(2t))\)
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13. if ( f(x)=(x^{2}-1)(x^{2}+1) ), then ( f^{prime}(-1)= ) (a) -4 (b) …
A. \(-4\)
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score on last try: 7.14 of 10 pts. see details for more. > next questio…
\(-2,-1,2,4,5\)
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find the absolute maximum and absolute minimum values of the function $…
1. Absolute maximum = \(504\) 2. Absolute minimum=\(-5\)
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find the absolute maximum and absolute minimum values of the function $…
(a) 1. Absolute maximum \(=504\) 2. Absolute minimum \(=9\) (b) 1. Absolute maximum \(=443\) 2. Absolute minimum \(=-5\) (c) 1. Absolute maximum \(=504\) 2. Absolute minimum \(=-5…
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introduction to exponential functions according to the mini - lesson, w…
- The Range of the exponential functions is \(f(x)>0\). - The Horizontal Asymptote is the line \(y = 0\). - The Domain of the exponential functions is All Real Numbers.
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evaluate the derivative of the following function. f(x)=\\cos^{-1}(\\fr…
\(\frac{7}{x\sqrt{x^{2}-49}}\)
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hw 20 - absolute extrema section 3.6: problem 5 (1 point) find the extr…
Absolute minimum value: \(3.000\) Absolute maximum value: \(16.500\)
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suppose a particle moves along a straight line. the position at time ( …
B. The graph of \(s(t)\) has no minimum. The particle will continue indefinitely to the left.
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suppose a particle moves along a straight line. the position at time t …
A. The particle goes at most \(6.125\) meters to the right.
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evaluate the derivative of the following function. f(x)=\\cos ^{-1}\\le…
\(\frac{5e^{5\cos x}\sin x}{\sqrt{1 - e^{10\cos x}}}\)
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suppose a particle moves along a straight line. the position at time t …
(i) \(0\) (ii) A. The particle revisits the location where it was at time \(0\) at \(t = 3.5\)
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evaluate the derivative of the following function. f(w)=\\cos \\sin ^{-…
\(f^\prime(w)=-\frac{64w}{\sqrt{1 - 64w^{2}}}\)
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evaluate the derivative of the following function. f(x)=5x sin^{-1}x f(…
\(5\sin^{-1}x+\frac{5x}{\sqrt{1 - x^{2}}}\)
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find the derivative of the function. $f(x)=\\tan ^{-1}(e^{4 x})$ $f^{pr…
\(\frac{4e^{4x}}{1 + e^{8x}}\)
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you need to create a legal structure for your small business. you have …
C. C - Corporation
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6. what term describes how the freedom to make mistakes can help a pers…
6. Dignity of risk 7. State the problem 8. Empowerment
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compute the derivative. use logarithmic differentiation where appropria…
\(-14x^{-14x}(1+\ln x)\)
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find f(x). f(x)=4x^{3}ln^{2}x f(x)=\\square
\(4x^{2}\ln x(3\ln x + 2)\)
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calculate the derivative of the following function. $y = 2\\log_2(x^2 -…
\(\frac{4x}{(x^2 - 2)\ln 2}\)
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exam: choice making for people 1. when brainstorming, the person you su…
1. Write it down anyway. 2. Help them touch or sample the item. 3. True 4. Dennis listens to what others say and is direct about his own feelings. 5. Dignity of risk
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hills function models how the amount of oxygen bound to hemoglobin in t…
\(f^\prime(P)=\frac{nP^{n - 1}k^{n}}{(k^{n}+P^{n})^{2}}\)
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hills function models how the amount of oxygen bound to hemoglobin in t…
a. \(f'(P)=\frac{nP^{n - 1}k^{n}}{(k^{n}+P^{n})^{2}}\) b. Since \(n>0\), \(k>0\), \(P > 0\), \(nP^{n - 1}k^{n}>0\) and \((k^{n}+P^{n})^{2}>0\), so \(f'(P)=\frac{nP^{n - 1}k^{n}}{(…
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hills function models how the amount of oxygen bound to hemoglobin in t…
(a) \(f'(P)=\frac{nP^{n - 1}k^{n}}{(k^{n}+P^{n})^{2}}\) (b) Since \(n>0\), \(k>0\), \(P>0\), the numerator \(nP^{n - 1}k^{n}>0\) and the denominator \((k^{n}+P^{n})^{2}>0\), so \(…
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differentiate with respect to the independent variable. $f(x)=\\frac{5 …
\(\frac{-4x^{3}-6x^{2}-5}{(1 + x)^{2}}\)
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the diversity of a population that contains two species can be measured…
\(H^\prime(p)=2 - 4p\) and \(p = \frac{1}{2}\) when \(H^\prime(p)=0\)
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the diversity of a population that contains two species can be measured…
\(H^\prime(p)=2 - 4p\) and \(p = \frac{1}{2}\) when \(H^\prime(p)=0\)
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assume that ( f(x) ) and ( g(x) ) are differentiable at ( x ). find an …
C. \([f^{\prime}(x)+6g^{\prime}(x)]g(x)+g^{\prime}(x)[f(x)+6g(x)]\)
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use the product rule to find the derivative with respect to the indepen…
\(60x^{4}+18x^{2}-8x\)
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researchers fit data from over 6000 fetal ultrasounds. they measured th…
When \(t = 10\), \(\frac{dL}{dt}\approx3.52\) mm/week; when \(t = 15\), \(\frac{dL}{dt}\approx3.28\) mm/week; when \(t = 25\), \(\frac{dL}{dt}\approx2.53\) mm/week. Since \(3.52>3…
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researchers fit data from over 6000 fetal ultrasounds. they measured th…
\(\frac{dL}{dt}\approx3.28\) mm/week
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researchers fit data from over 6000 fetal ultrasounds. they measured th…
\(3.52\)
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researchers fit data from over 6000 fetal ultrasounds. they measured th…
\(\frac{dL}{dt}=3.71 - 0.001896t^{2}\)
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find the coordinates of all of the points on the graph of ( y = f(x) ) …
A. The point(s) is/are \((7,49)\)
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for the function, find the points on the graph at which the tangent lin…
A. The point(s) at which the tangent line is horizontal is(are) \((0,-6)\)
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find the tangent line, in standard form, to ( y = f(x) ) at the indicat…
\(115x + y=222\)
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differentiate the function with respect to the independent variable. $f…
\(\frac{x^{2}}{5}-\frac{x^{3}}{3}\)
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consider the function g given by g(x) = |x - 6|. graph the function and…
\(6\)
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suppose that ( f(x) ) and ( g(x) ) are differentiable functions such th…
\(\frac{27}{25}\)
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assume that ( f(x) ) is differentiable. find an expression for the deri…
\(11\)
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find $f_x(x,y)$ and $f_y(x,y)$. then, find $f_x(-2,2)$ and $f_y(2,-3)$.…
\( f_x(x,y)=5y\), \( f_y(x,y)=5x + 16y^{3}\), \( f_x(-2,2)=10\), \( f_y(2,-3)=-422\)
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find $f_{x}(x,y)$ and $f_{y}(x,y)$. then find $f_{x}(2,-1)$ and $f_{y}(…
\(f_{x}(x,y)=e^{x + y+3}\), \(f_{y}(x,y)=e^{x + y+3}\), \(f_{x}(2,-1)=e^{4}\), \(f_{y}(-4,3)=e^{2}\)
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let ( f(x,y) ) be a function that has ( (-2,-4) ) as a critical point. …
A. f has a relative maximum at \((-2,-4)\)
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find $f_x(x,y,z)$, $f_y(x,y,z)$, $f_z(x,y,z)$, and $f_{yx}(x,y,z)$ for …
\(f_x(x,y,z)=18x^{2}+2y\), \(f_y(x,y,z)=2x\), \(f_z(x,y,z)=-6z^{2}\), \(f_{yx}(x,y,z)=2\)
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find all points where the function has any relative extrema. identify a…
For relative minima: A. The point(s) is(are) \((2,-1)\). For local relative: B. There are no local relative. For saddle points: B. There are no saddle points.
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question 4 of 25 a constitutional amendment is passed by two - thirds o…
C. Make it difficult for the Constitution to be amended
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find all points where the function has any relative extrema. identify a…
- For relative minima: A. The point(s) is(are) \((2,-1)\). - For local relative: B. There are no local relative. - For saddle points: B. There are no saddle points.
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question the function f is graphed below. determine the intervals on wh…
The function is decreasing on the interval $-6 < x < -3$ (segment 1), increasing on the interval $-3 < x < 0$ (segment 2), and increasing on the interval $0 < x < 4$ (segment 3).
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find all the local maxima, local minima, and saddle points of the given…
A. There are local minima located at \((-5,5)\); B. There are no local maxima; B. There are no saddle points.
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let ( f(x,y) ) be a function that has ( (-8,0) ) as a critical point. w…
B. \(f\) has a relative minimum at \((-8,0)\)
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the process of frying food changes its quality, texture, and color. sup…
a. \(E = 433.56\) kJ/mol b. The total change in color is \(77.72\) kJ/mol c. Since \(D=-0.008<0\), the critical point \((1.55,132.90)\) is a saddle point. So the answer is B. A sa…
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find the exact value of the trigonometric function at the given real nu…
(a) \(2\) (b) \(-\frac{2\sqrt{3}}{3}\) (c) \(\frac{2\sqrt{3}}{3}\)
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find $f_x(x,y)$ and $f_y(x,y)$. then, find $f_x(2,1)$ and $f_y(-3,-4)$.…
\( f_x(x,y)=4xy^{3} \), \( f_y(x,y)=6x^{2}y^{2} \), \( f_x(2,1)=8 \), \( f_y(-3,-4)=864 \)
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look at the graph: what is the equation of the horizontal asymptote?
\(y = 0\)
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read the excerpt from amy tans essay \mother tongue.\ i know this for a…
conversational
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consider the following. (if an answer does not exist, enter dne.) $f(\\…
(a) - Interval of increase: \((\pi,2\pi)\) - Interval of decrease: \((0,\pi)\) (b) - Local minimum value: \(-1\) - Local maximum value: \(3\) (c) - Smaller \(x -\)value (inflectio…
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sketch the polynomial function using the following step - by - step pro…
The left - hand behavior starts at \(-\infty\) and the right - hand behavior ends at \(+\infty\)
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find the derivatives $r_{xx}$, $r_{yy}$, and $r_{xy}$. $r_{xx}=-8$, $r_…
\(R_{xx}=-8\), \(R_{yy}=-18\), \(R_{xy}=-8\), and the maximum revenue from selling spas and solar - heaters is \(\$3216\).
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the total revenue (in hundreds of dollars) from the sale of x spas and …
\(R_{xx}=-8\), \(R_{yy}=-18\), \(R_{xy}=-8\). The number of spas \(x = 16\) (in hundreds) and solar heaters \(y = 10\) (in hundreds) should be sold. The maximum revenue is \(3216\…
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suppose the labor cost (in dollars) for manufacturing a camera can be a…
\(58\)
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suppose the labor cost (in dollars) for manufacturing a camera can be a…
\(x = 10\) and \(y = 12\)
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select the correct choice below and fill in any answer boxes within you…
A. The relative maximum/maxima is/are located at \((-5,1)\). B. There are no relative minima.
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find all points where the given function has any relative extrema. iden…
A. The relative maximum/maxima is/are located at \((-5,1)\)
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find all the local maxima, local minima, and saddle points of the given…
A. There are local minima located at \((3,-2)\). B. There are no local maxima.
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find all the local maxima, local minima, and saddle points of the given…
B. There are no local maxima.
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find all points where the function has any relative extrema. identify a…
A. The point(s) is(are) \((3,-2)\) B. There are no relative maxima. A. The point(s) is(are) \((3,-2)\)
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find all points where the function has any relative extrema. identify a…
A. The point(s) is(are) \((3,-2)\)
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find all points where the given function has any local extrema. identif…
Since \(D=-1<0\) at the critical point \((-1,12)\), there are no local maxima (B) and no local minima (B). The point \((-1,12)\) is a saddle point.
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find all points where the given function has any local extrema. identif…
B. There are no local maxima.
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insurance planning is designed to protect your wealth in which of the f…
all of the above
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(a) the derivative of a function f at x, denoted by f(x), is f(x)=lim h…
\(f^{\prime}(4)=-\frac{1}{16}\)
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(a) the derivative of a function f at x, denoted by f(x), is f(x) = lim…
\(f^{\prime}(4)=-\frac{1}{16}\)
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the function ( y = f(x) ) is graphed below. what is the average rate of…
\(-2\)
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(a) the derivative of a function ( f ) at ( x ), denoted by ( f(x) ), i…
\(-\frac{1}{16}\)
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(a) the derivative of a function f at x, denoted by f(x), is f(x) = \\l…
\(-\frac{1}{16}\)
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(a) the derivative of a function f at x, denoted by f(x), is f(x) = lim…
\(\lim_{h ightarrow0}\frac{\frac{1}{4 + h}-\frac{1}{4}}{h}\)
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(a) the derivative of a function f at x, denoted by f(x), is f(x)=\\(\\…
\(-\frac{1}{9}\)
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f(x)=\\frac{1}{x} (a) use the formal definition to find the derivative …
\(f^{\prime}(4)=-\frac{1}{16}\)