`F(x) = (4x - x^2)^100` Find the derivative of the function.

Expert Answers
gsarora17 eNotes educator| Certified Educator

`F(x)=(4x-x^2)^100`

`F'(x)=100(4x-x^2)^(100-1) *(4-2x)`

`F'(x)=100(4x-x^2)^99(4-2x)`

`F'(x) = 200(2-x)(4x-x^2)^99`