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

The derivative of (2x^3(4x^2)) is 40x^4

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

The first derivative of (2x^3(4x^2)) is 40x^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

40 x^{4}

Solution steps

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

Simplify

(2 x^{3}) (4 x^{2}) : 8 x^{5}

= \frac{d}{d x} (8 x^{5})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 8 \frac{d}{d x} (x^{5})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 8 \cdot 5 x^{5 - 1}

Simplify

= 40 x^{4}

What is the derivative of (2x^3(4x^2)) ?
The derivative of (2x^3(4x^2)) is 40x^4
What is the first derivative of (2x^3(4x^2)) ?
The first derivative of (2x^3(4x^2)) is 40x^4