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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

x y^{^{'}} = y + 8 x^{2} sin (x), y (π) = 0

3 x^{2} + 4 x y + (2 y + 2 x^{2}) \frac{d y}{d x} = 0

x^{2} \frac{d y}{d x} + 2 x y - y^{3} = 0

\frac{d}{d x} (\frac{10}{x ^{7}})

\frac{d}{d t} (e^{- 5 t})

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