What is the derivative of y=(4x-x^2)^3 ?

The derivative of y=(4x-x^2)^3 is 3(4x-x^2)^2(4-2x)

What is the first derivative of y=(4x-x^2)^3 ?

The first derivative of y=(4x-x^2)^3 is 3(4x-x^2)^2(4-2x)

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derivative of

y = (4 x - x^{2})^{3}

3 (4 x - x^{2})^{2} (4 - 2 x)

Solution steps

\frac{d}{d x} ((4 x - x^{2})^{3})

Apply the chain rule:

3 (4 x - x^{2})^{2} \frac{d}{d x} (4 x - x^{2})

= 3 (4 x - x^{2})^{2} \frac{d}{d x} (4 x - x^{2})

\frac{d}{d x} (4 x - x^{2}) = 4 - 2 x

= 3 (4 x - x^{2})^{2} (4 - 2 x)

\frac{d}{d x} (\frac{4 x}{( x ^{2} + 1 ) ^{2}})

\int_{- 3}^{4} x d x

f (x) = 4 x^{2} - 5 x - 4 x - 2

arctan (7 x)

What is the derivative of y=(4x-x^2)^3 ?
The derivative of y=(4x-x^2)^3 is 3(4x-x^2)^2(4-2x)
What is the first derivative of y=(4x-x^2)^3 ?
The first derivative of y=(4x-x^2)^3 is 3(4x-x^2)^2(4-2x)