Question

How do you find the derivative for `(x^4 + 3x^2)/(x^2)`?

Answer 1

`f'(x)=2x`

Explanation:

Writing your term in the form

`(x^4+3x^2)/x^2=x^4/x^2+3x^2/x^2=x^2+3`
we get

`f'(x)=2x`

Answer 2

`2x`

Explanation:

`(x^4+3x^2)/x^2=x^4/x^2+(3x^2)/x^2=x^2+3`

`d/dx(x^2+3)=2x`