Question

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

Answer 1

Answer:

$\dfrac{d(f(x))}{dx} = \dfrac{-6}{7}x^{-3}$

Step-by-step explanation:

We are given the following in the question:

$f(x) = \dfrac{3}{7x^2}$

We have to find derivative of the given function

Formula:

$\dfrac{d(x^n)}{dx} = nx^{n-1}$

Derivation the given function we get:

$\dfrac{d(f(x))}{dx} = \dfrac{d}{dx}\bigg(\dfrac{3}{7x^2}\bigg)\\\\=\dfrac{d}{dx}\bigg(\dfrac{3x^{-2}}{7}\bigg)\\\\=\dfrac{3}{7}(-2)(x^{-2-1})\\\\=\dfrac{-6}{7}x^{-3}$

$\dfrac{d(f(x))}{dx} = \dfrac{-6}{7}x^{-3}$