What is the derivative of 4x^8 ?

The derivative of 4x^8 is 32x^7

What is the first derivative of 4x^8 ?

The first derivative of 4x^8 is 32x^7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (4 x^{8})

32 x^{7}

Solution steps

\frac{d}{d x} (4 x^{8})

Take the constant out:

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

= 4 \frac{d}{d x} (x^{8})

Apply the Power Rule:

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

= 4 \cdot 8 x^{8 - 1}

Simplify

= 32 x^{7}

- cot (x) csc (x)

\int_{0}^{\frac{π}{4}} sin^{4} (4 x) d x

x \to 2 lim (x^{3} + 4)

\int (x - 3) (x + 11)^{15} d x

y = \frac{x ^{6}}{f ( x )}