Question

how to find the derivative of (4x+1)(1-x)^3

Answer 1

Product rule would need to be applied.

Answer 2

Then Chain rule and some other rules.

Answer 3

but yeah the first one to begin with is product

Answer 4

\[\frac{d}{dx}(4x+1)(1-x)^3 \\ = (1-x)^3 \frac{d}{dx}(4x+1)+ (4x+1) \frac{d}{dx}(1-x)^3\]
see if you can continue

Answer 5

\[(4 x+1) (1-x)^3=-4 x^4+11 x^3-9 x^2+x+1 \]Calculate the derivative term by term.\[-16 x^3+33 x^2-18 x+1 \]

Answer 6

https://www.symbolab.com/solver/derivative-calculator/%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft(%5Cleft(%5Cleft(4x%2B1%5Cright)%5Cleft(1-x%5Cright)%5E%7B3%7D%5Cright)%5Cright)/?origin=button