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

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Chapter 3, 3.4 - Problem 8 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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gsarora17 | (Level 2) Associate Educator

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`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`

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