Cálculo
Límites, derivadas, optimización y comportamiento de funciones.
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find the derivative: $f(x)=\\sqrt3{x}$ a. $\\frac{1}{3}$ b. $\\frac{1}{…
D. \( \frac{1}{3}x^{-\frac{2}{3}} \)
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if a is a constant, what is the derivative of ax?
\(a\)
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find the derivative of the given equation f(x) = -4x
\(-4\)
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what is the derivative of x^n? (n - 1)x^n (n + 1)x^{n - 1} nx^{n - 1} n…
\(nx^{n-1}\) (the third option)
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use the a, b, and c - sliders to graph the function ( f(x)=\frac{x - 1}…
B. \(x = 3\)
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which statement describes one characteristic of a productive formal dis…
B. It encourages listening and responding to different viewpoints.
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find the derivative of: 7 sin²(-9x⁸). hint: sin²(x) = sin(x)²...so use …
\(-126x\cos(-9x^{2})\sin(-9x^{2})\)
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the depth (in feet) of water at a dock changes with the rise and fall o…
$-1.8138$
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question 15 textbook let $f(x)=-3\\cos ^{5}x$ $f(x)=$ question help: vi…
$15\cos^{4}x\sin x$
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let ( f(x)=-8 cos left(cos left(x^{4} ight) ight) ). then ( f^{prime}(x…
$32x^{3}\sin(\cos(x^{4}))\sin(x^{4})$
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let $f(x)=6\\cos(\\cos x)$ $f(x)=$ question help: video message
$6\sin x\sin(\cos x)$
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exercises 3.6 the chain ru score: 8.83/19 answered: 11/19 question 12 t…
\(-28\sec(7x)\tan(7x)\)
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let $f(x)=(2x^{2}+3)^{3}(6x^{2}-3)^{9}$ $f(x)=$ question help: video me…
$6x(2x^{2}+3)^{2}(6x^{2}-3)^{8}(22x^{2}-3)$
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y = sin(3·x + 6) find \\frac{dy}{dx} \\frac{dy}{dx} = type sin(x) for s…
$3\cos(3x + 6)$
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let ( f(x)=f(f(x)) ) and ( g(x)=(f(x))^{2} ). you also know that ( f(6)…
\(F'(6) = 32\) and \(G'(6) = 2048\)
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exercises 3.6 the chain score: 6/19 answered: 6/19 question 7 textbook …
$f^{\prime}(x) = 5\sin^{4}x\cos x$; $f^{\prime}(3) = 5\sin^{4}(3)\cos(3)$
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exercises 3.6 the chain score: 5/19 answered: 5/19 question 6 textbook …
$-20\csc(4x)\cot(4x)$
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if ( f(x)=sin left(x^{4} ight) ), find ( f^{prime}(x) ) find ( f^{prime…
For \( f(x)=\sin(x^{4}) \), \( f^{\prime}(x) = 4x^{3}\cos(x^{4}) \) and \( f^{\prime}(3)=4\times3^{3}\cos(3^{4})=108\cos(81) \)
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exercises 3.6 the chain rule score: 2/19 answered: 2/19 question 2 text…
$f^{\prime}(x)=\frac{4x + 5}{2\sqrt{2x^{2}+5x + 2}}$; $f^{\prime}(5)=\frac{25}{12}$
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exercises 3.5 derivatives of trigonometric score: 10/12 answered: 11/12…
$\sin(x)$
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let ( f(x)=sin (x) ), find each of the following: find the second deriv…
- \( f^{\prime\prime}(x)=-\sin(x) \) - \( f^{\prime\prime\prime}(x)=-\cos(x) \) - \( f^{\prime\prime\prime\prime}(x)=\sin(x) \)
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find the equation of the tangent line to the curve ( y = 6sin x ) at th…
$m = 3\sqrt{3}$, $b = 3-\frac{\pi\sqrt{3}}{2}$
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score on last try: 0 of 1 pts. see details fo at least one scored part …
$f'(x)=\sec x - 3\tan x\sec x$; $f'(1)=\sec(1)-3\tan(1)\sec(1)$
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if ( f(x)=\frac{\tan x - 3}{sec x} )( f(x)=)( f(1)=)
$f^{\prime}(x)=\cos x + 3\tan x\sec x$; $f^{\prime}(1)=\cos 1 + 3\tan 1\sec 1$
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if ( f(x) = 2xsin xcos x ), find ( f(x)=) find ( f(5) =)
\(f'(x) = 2\sin x\cos x + 2x(\cos^{2}x-\sin^{2}x)\) \(f'(5)\approx - 4.96\)
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let $f(x)=3\\cos x - 6\\tan x$ $f(x)=$ $f(\\frac{\\pi}{3})=$ question h…
$f'(x)=-3\sin x - 6\sec^{2}x$; $f'(\frac{\pi}{3})=-3\sqrt{3}-24$
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if ( f(x)=\frac{2 sin x}{1+cos x} ), then ( f^{prime}(x)= ) ( f^{prime}…
$f'(x)=\frac{2}{1 + \cos x}$; $f'(2)=\frac{2}{1+\cos2}$
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if ( f(x)=\frac{3 x^{2} \tan x}{sec x} ), find ( f^{prime}(x)= ) find (…
$f^{\prime}(x)=6x\sin x + 3x^{2}\cos x$; $f^{\prime}(1)=6\sin1 + 3\cos1$
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if ( f(x)=2 sin x + 6 cos x ), then ( f^{prime}(x)= ) ( f^{prime}(4)= )…
\(f^\prime(x)=2\cos x - 6\sin x\) \(f^\prime(4)=2\cos(4)-6\sin(4)\)
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if ( f(x)=3 x(sin x+cos x) ), find ( f^{prime}(x)= ) ( f^{prime}(4)= )
\(f^\prime(x)=3\sin x(1 - x)+3\cos x(1 + x)\) \(f^\prime(4)\approx - 2.99\)
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determine all critical points for the function. f(x)=3x^{2}-2x^{3} x = …
\(x = 0,1\)
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find the absolute maximum and minimum values of the following function …
A. The absolute maximum value \(\frac{29}{7}\) occurs at \(x = 1\).
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find the absolute extreme values and where they occur. select the corre…
A. The absolute maximum value is \(1\) at \(x = 9\), and the absolute minimum value is \(-5\) at \(x=5\) (Note: In the context of the graph, even though the point at \(x = 5\) is …
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determine from the given graph whether the function has any absolute ex…
D. Since the function \( f \) is continuous and the domain of \( f \) is not a closed interval, \( f \) may or may not have any absolute extreme values on its domain.
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determine from the given graph whether the function has any absolute ex…
D. The function does not have any absolute extreme values on its domain.
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determine from the given graph whether the function has any absolute ex…
D. The function does not have any absolute extreme values on \((a,b)\); B. Since the function \(f\) is continuous and the domain of \(f\) is not a closed interval, \(f\) may or ma…
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determine from the given graph whether the function has any absolute ex…
B. The function has an absolute maximum value at \(x = c\) but does not have an absolute minimum value on \((a,b)\)
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find the absolute maximum and minimum values of the following function …
The absolute maximum value \(1.4319\) occurs at \(x = 3\)
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find the absolute maximum and minimum values of the following function …
A. The absolute maximum value \(1.4319\) occurs at \(x = 3\).
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determine all critical points for the following function. f(x)=2x(16 - …
A. The critical point(s) occur(s) at \(x = 4,16\)
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determine all critical points for the following function. f(x) = 2x(16 …
\(f^\prime(x)=8(16 - x)^2(4 - x)\)
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how the government is limited: aka how you have rights!! an a______ is …
A. Amendment B. Bill R. Rights F. Federalists C. Congress
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consider the function ( q(x)=x^{11}-3 x^{10}+2 ). use the second deriva…
\(\varnothing\)
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find the x-coordinates of all local maxima using the second derivative …
\(-\sqrt{\frac{7}{3}}\)
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is the graph of $r(x)=-8x^{3}-7x^{2}+2x + 3$ concave up or down at the …
Concave up
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current objective determine concavity and find the inflection points gi…
Concave up
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analyze the following graph of ( f^{prime}(x) ). select all of the inte…
\((-\infty,-1)\) and \((1,\infty)\)
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analyze the following graph of $f(x)$. select all of the intervals over…
None of the above.
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find the exact length of the curve. use a graph to determine the parame…
\(4\)
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find the equation of the tangent line to the curve (a lemniscate) ( 2(x…
\(m =-\frac{9}{13}\), \(b=\frac{40}{13}\)
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if $\\frac{x^{2}}{36}+\\frac{y^{2}}{16}=1$ is the equation of an ellips…
\(-0.385\)
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exercises 3.8 implicit differentiation score: 12/20 answered: 6/10 prog…
\(\frac{dy}{dx}=\frac{77x^{6}-44x^{21}y}{2x^{22}+9y^{8}}\); \(y = 3x-2\)
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use the method of variation of parameters to solve the initial value pr…
\(\mathbf{x}(t)=\begin{bmatrix}6t\sin t-30t\cos t + 30\sin t+214\cos t-214\\-6t\cos t+14\sin t+40\cos t-40\end{bmatrix}\)
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8. what point of view is used in writing a reflective essay? third pers…
first person
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find the slope of the tangent line to the curve $2x^{2}-4xy - 2y^{3}=10…
\(\frac{1}{11}\)
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exercises 3.8 implicit differentiation score: 8/20 answered: 4/10 progr…
\(-\frac{6}{5}\)
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exercises 3.8 implicit differentiation score: 6/20 answered: 3/10 progr…
\(\frac{dy}{dx}=\frac{-6x^{5}}{4y^{3}+\sin y}\)
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use implicit differentiation to find \\( \\frac { d y } { d x } \\). \\…
\(\frac{15x^{2}+4x}{8 - 2y}\)
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use implicit differentiation to determine \\( \\frac { d y } { d x } \\…
\(-\frac{6x^{5}}{5y^{4}}\)
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exercises 3.8 implicit differentiation score: 0/20 answered: 0/10 progr…
\(\frac{dy}{dx}=-\frac{6x^{5}}{5y^{4}}\)
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a. find the open interval(s) on which the function is increasing and de…
A. The function is increasing on the open interval(s) \((-\infty,-\frac{2\sqrt{7}}{7}),(\frac{2\sqrt{7}}{7},\infty)\)
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question 1 (20 points) all are disadvantages of reading directly from a…
it can speed up your rate of delivery.
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question 3 (20 points) your speaking outline should be a brief version …
a brief version of your detailed outline.
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question 5 (2 points) when including statistics in your presentation, y…
use visual aids to explain them.
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a. find the open interval(s) on which the function is increasing and de…
C. The function has a local maximum value at one value of \(t\). The maximum value is \(g(\frac{3}{4})=\frac{1}{8}\)
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monthly sales of a particular personal computer are expected to decline…
\(18\)
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assuming that ( x > 0 ), use differentiation to justify the formula ( i…
The derivative of \( \ln|x| \) is \( \frac{1}{x} \) and the derivative of a constant \( C \) is \( 0 \).
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answer the questions below about the function whose derivative is ( f^{…
a. The critical points are \(x=-7\) and \(x = 7\). b. \(f(x)\) is increasing on \((-\infty,-7)\cup(7,\infty)\) and decreasing on \((-7,0)\cup(0,7)\). c. Local maximum at \(x=-7\) …
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assuming that ( x > 0 ), use differentiation to justify the formula ( i…
\(\frac{1}{x}\)
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find the indefinite integral as indicated. int \frac { d } { d x } left…
\(x^{7}+6x^{3}+9 + C\)
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answer the questions below about the function whose derivative is $f(x)…
B. There is no local minimum.
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answer the questions below about the function whose derivative is $f(x)…
A. The function \(f\) is decreasing on the interval(s) \((-8,-1),(2,3)\)
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answer the questions below about the function whose derivative is ( f^{…
a. \(x=-8,2\) b. The function \(f\) is increasing on the intervals \((-\infty,-8)\cup(-1,2)\cup(3,\infty)\)
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answer the questions below about the function whose derivative is $f(x)…
A. \(x=-8,2\)
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use implicit differentiation to find \\( \\frac { d y } { d x } \\). \\…
\(\frac{1}{1 + x^{2}}\)
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use identities to find values of the sine and cosine functions for the …
\(\cos\theta =-\frac{11\sqrt{130}}{130}\)
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it was during the first world war that a silent pilgrimage took its fir…
Limited economic opportunities for African Americans in the South
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answer the questions below about the function whose derivative is $f(x)…
a. The critical points of \(f\) are \(x=-9\) and \(x = 5\). b. The function \(f\) is increasing on the intervals \((-\infty,-9)\cup(-3,5)\cup(7,\infty)\) and decreasing on \((-9,-…
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answer the questions below about the function whose derivative is $f(x)…
A. \(x=-9\)
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answer the questions below about the function whose derivative is $f(x)…
The function \(f\) is decreasing on the interval(s) \((-9,-3),(5,7)\)
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answer the questions below about the function whose derivative is $f(x)…
a. \(x=-9,5\) b. The function \(f\) is increasing on the intervals \((-\infty,-9),(-3,5),(7,\infty)\) c. Local maxima at \(x=-9\) and \(x = 5\), no local minima.
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which corporation uses a double layer of taxation? limited liability co…
C. C corporation
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answer the questions below about the function whose derivative is $f(x)…
a. \(x=-9,5\) b. The function \(f\) is increasing on the intervals \((-\infty,-9)\) and \((-9,5)\)
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answer the questions below about the function whose derivative is ( f^{…
\(x=-9,5\)
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graphing asymptotes for a rational functions two copies of the same rat…
Horizontal Asymptote: \(y = 0\) Vertical Asymptote: \(x=-2\)
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what is the main drawback of a sole proprietorship? they are easy to cr…
They have unlimited personal liability
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answer the following questions about the function whose derivative is $…
The function \(f\) is increasing on the open intervals \((-\infty,-5)\) and \((2,\infty)\) and decreasing on the open interval \((-5,2)\).
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2. the value of a familys home is given by $f(n)=130000(1.06)^{n}$, whe…
The instantaneous rate of change of the value of the home when the family has owned it for \(5\) years is approximately \(\$10146\) per year.
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answer the following questions about the function whose derivative is $…
A. The critical point(s) of \(f\) is/are \(x = 0,2\)
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among the candidates for daily show anchor were amy poehler, who quickl…
C. declined;
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mum bett was a pioneering figure in the fight against slavery. in 1781,…
C. To give an overview of a historical figure's role in ending slavery in Massachusetts
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text structure and purpose: get ready mum bett was a pioneering figure …
C. To give an overview of a historical figure’s role in ending slavery in Massachusetts
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find the difference quotient of f, that is, find \\( \\frac { f ( x + h…
\(8\)
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use the graph to determine a. open intervals on which the function is i…
a. B. There is no interval on which the function is increasing. b. A. The function is decreasing on the interval(s) \((2,6)\) c. B. There is no interval on which the function is c…
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use the graph to determine a. open intervals on which the function is i…
a. A. The function is increasing on the interval(s) \((-\infty, 2)\) b. A. The function is decreasing on the interval(s) \((2,4)\) c. B. There is no interval on which the function…
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determine any relative maxima or minima of the function and the interva…
- The function has a **Relative maximum**. - The relative maximum occurs at \(x = 6.5\) and has a value of \(79.25\). - The function is increasing on the interval \(C.(-\infty,6.5…
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answer the following questions about the function whose derivative is $…
a. The critical points of \(f\) are \(x=-7\) and \(x = 6\). b. The function is increasing on the open intervals \((-7,6)\cup(6,\infty)\) and decreasing on the open interval \((-\i…
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identify any vertical asymptotes on the interval $0,4\\pi$ 17. $f(x)=2\…
For \(f(x)=2\tan(2x)\) on \([0,4\pi]\), the vertical asymptotes are \(x=\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4},\frac{9\pi}{4},\frac{11\pi}{4},\frac{13\pi}{4},\…
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using the language of transformations, describe the transformations nee…
15. The function \(f(x)=-2\tan(x)\) is obtained from the parent function \(y = \tan(x)\) by a vertical stretch by a factor of \(2\) and a reflection about the \(x\) - axis. 16. Th…
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differentiate $f(x)=\\frac{2}{x^{5}} - 5$
\(-\frac{10}{x^{6}}\)