Question

Find f'(x).f(x) = x2 - 2x - 8x-2 + 7x-3-f'(x) =

Answer 1

Given:

`f(x)=x^2-2x-8x^(-2)+7x^(-3)`

Required:

We need to differentiate the given function.

Step-by-step explanation:

`Use\text{ }(d)/(dx)(x^n)=nx^(n-1).`

Differentiate the given function with respect to x.

`f^(\prime)(x)=2x^(2-1)-2x^(1-1)-8(-2)x^(-2-1)+7(-3)x^(-3-1)`

`f^(\prime)(x)=2x-2x^0-8(-2)x^(-3)+7(-3)x^(-4)`

`f^(\prime)(x)=2x-2(1)+16x^(-3)-21x^(-4)`

`f^(\prime)(x)=2x-2+16x^(-3)-21x^(-4)`

Final answer:

`f^(\prime)(x)=2x-2+16x^(-3)-21x^(-4)`