Question

find the derivative of the following function f(x) =(5x2+3X-10)2?

Answer 1

`f'(x) = 100x^3 + 90x^2 - 182x - 60`

Explanation:

`y = u^n`
`y' = n * u^(n-1) * u'`

`f(x) =(5x^2+3x-10)^2`
`f'(x) = 2 * (10x + 3) * (5x^2+3x-10)^1`
`f'(x) = 100x^3 + 90x^2 - 182x - 60`