Question

How do you differentiate `f(x)=(x^2 + 2) (x^3 + 4)` using the product rule?

Answer 1

`f'(x) = 5x^4 + 6x^2 + 8x`

Explanation:

`f'(x) = 2x xx (x^3 + 4) + 3x^2 xx (x^2 + 2)`

`f'(x) = 2x^4 + 8x + 3x^4 + 6x^2`

`f'(x) = 5x^4 + 6x^2 + 8x`