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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\frac{d}{d x} (sec^{4} (x) - tan^{4} (x))

y^{^{'}} = 3 - (2 y)

\frac{\partial}{\partial y} (ln (x^{2} + y^{3}))

\frac{x - 5}{x}

\frac{d}{d x} ((1 + 2 x) y)

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