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

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

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

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

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derivative of

f (x) = (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)

e^{x}, x^{2} - 1, - 1.14776, 2

\int \frac{6 x + 15}{2 x + 1} d x

\frac{d}{d x} ((\frac{x ^{2} + 1}{x ^{2} - 1})^{3})

2 π

\int_{x}^{\infty} e^{- y} d y

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