Question

In Exercise, find the second derivative of f.
f(x) = -1/x^2

Answer 1

`f''(x)=(-6)/(x^4)`

Explanation:

`f(x)=(-1)/(x^2)`

find the first derivative

`f(x)=-1x^(-2)`

Apply power rule to find derivative

derivative of a^n = n a^ (n-1)

`f'(x)=-1(-2)x^(-3)`

`f'(x)=2x^(-3)`

now we take second derivative, apply same chain rule

`f'(x)=2x^(-3)`

`f''(x)=2(-3)x^(-4)`

`f''(x)=(-6)/(x^4)`