Differentiate with respect to x (and simplify): 2x(1-x)^3 I need to show working out. I will mark the best answer BRAINLIEST

Respuesta :

Answer:

First of all expand the terms

2x(1-x)³ = 2x( 1 - 3x + 3x² - x³)

Multiply by 2x

You will get

2x - 6x² + 6x³ -2x⁴

Differentiate each of the terms using differentiation rules

You will get

2 - 12x + 18x² - 8x³

So the final answer is

- 8x³ + 18x² - 12x + 2

Hope this helps.