Question

f(x) = 1/(5x-6)Find the derivative of this function

Answer 1

Given

$f(x)=\frac{1}{5x-6}$

To find the derivative of the give function,we apply below exponent rule first:

$\frac{1}{a}=a^{-1}$

So,

Next, we apply the chain rule:

So,

We substitute back u=(5x-6):

Simplify:

Therefore, the answer is:

$=-\frac{5}{(5x-6)^2}$