Question

In Exercise find the derivative of the functions.
f(x) = 3/7x^2

Answer 1

`(d(f(x)))/(dx) = (-6)/(7)x^(-3)`

Explanation:

We are given the following in the question:

`f(x) = (3)/(7x^2)`

We have to find derivative of the given function

Formula:

`(d(x^n))/(dx) = nx^(n-1)`

Derivation the given function we get:

`(d(f(x)))/(dx) = (d)/(dx)\bigg((3)/(7x^2)\bigg)\\\\=(d)/(dx)\bigg((3x^(-2))/(7)\bigg)\\\\=(3)/(7)(-2)(x^(-2-1))\\\\=(-6)/(7)x^(-3)`

`(d(f(x)))/(dx) = (-6)/(7)x^(-3)`