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

The derivative of (-x^3+4x^2)^3 is 3(-x^3+4x^2)^2(-3x^2+8x)

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

The first derivative of (-x^3+4x^2)^3 is 3(-x^3+4x^2)^2(-3x^2+8x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

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

3 (- x^{3} + 4 x^{2})^{2} (- 3 x^{2} + 8 x)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (- x^{3} + 4 x^{2}) = - 3 x^{2} + 8 x

= 3 (- x^{3} + 4 x^{2})^{2} (- 3 x^{2} + 8 x)

\int 15 t^{2} d t

y^{^{'}} = \frac{1}{y - x}

\int (12 x + 2) 6 x^{2} + 2 x d x

\int x e^{- 3 x^{2}} d x

\int_{0}^{2} \frac{1}{x ^{2} - 2 x + 2} d x

What is the derivative of (-x^3+4x^2)^3 ?
The derivative of (-x^3+4x^2)^3 is 3(-x^3+4x^2)^2(-3x^2+8x)
What is the first derivative of (-x^3+4x^2)^3 ?
The first derivative of (-x^3+4x^2)^3 is 3(-x^3+4x^2)^2(-3x^2+8x)