Question

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

Answer 1

Given

`f(x)=(1)/(5x-6)`

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

`(1)/(a)=a^(-1)`

So,

Next, we apply the chain rule:

So,

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

Simplify:

Therefore, the answer is:

`=-(5)/((5x-6)^2)`