What is the derivative of 3x^8 ?

The derivative of 3x^8 is 24x^7

What is the first derivative of 3x^8 ?

The first derivative of 3x^8 is 24x^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} (3 x^{8})

24 x^{7}

Solution steps

\frac{d}{d x} (3 x^{8})

Take the constant out:

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

= 3 \frac{d}{d x} (x^{8})

Apply the Power Rule:

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

= 3 \cdot 8 x^{8 - 1}

Simplify

= 24 x^{7}

x \to - 1 lim (4 x^{2} + 6)

x \to 0 - lim (e^{c o t (x)})

x y^{^{'}} - 2 y = 3 x

(1 + (y^{^{'}})^{2})^{\frac{3}{2}} = y^{^{''}}

\frac{( 2 x + x ^{2} )}{( 1 + x ) ^{2}}