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.