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

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

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

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

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\frac{d}{d 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)

y^{^{'}} + 8 y = 4, y (0) = 3

\int_{0}^{2} t e^{t^{2}} d t

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

\frac{\partial}{\partial x} ((2 x - x^{2}) (2 y - y^{2}))

\frac{\partial}{\partial x} (x^{yy - xx})

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