Question

differentiate the function. y = 7/ln(x) y =

Explanation:

Step1: Apply quotient - rule

The quotient - rule states that if $y=\frac{u}{v}$, then $y'=\frac{u'v - uv'}{v^{2}}$. Here, $u = 7$, so $u'=0$, and $v=\ln(x)$, so $v'=\frac{1}{x}$.

Step2: Substitute values into quotient - rule

$y'=\frac{0\times\ln(x)-7\times\frac{1}{x}}{(\ln(x))^{2}}$.

Step3: Simplify the expression

$y'=-\frac{7}{x(\ln(x))^{2}}$.

Answer:

$-\frac{7}{x(\ln(x))^{2}}$