What is the derivative of 5x^8 ?

The derivative of 5x^8 is 40x^7

What is the first derivative of 5x^8 ?

The first derivative of 5x^8 is 40x^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} (5 x^{8})

40 x^{7}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 40 x^{7}

\int \frac{( 1 - t cos ( t ) )}{t} d t

\frac{5}{s + 1}

4 x^{4} - 4 x^{2}, 3 x^{2}, [0, 0]

n = 1 \sum \infty cos^{n} (1.6)

\frac{d}{d x} (e^{x} x^{2})