What is the derivative of 2/5 x^{10} ?

The derivative of 2/5 x^{10} is 4x^9

What is the first derivative of 2/5 x^{10} ?

The first derivative of 2/5 x^{10} is 4x^9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (\frac{2}{5} x^{10})

4 x^{9}

Solution steps

\frac{d}{d x} (\frac{2}{5} x^{10})

Take the constant out:

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

= \frac{2}{5} \frac{d}{d x} (x^{10})

Apply the Power Rule:

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

= \frac{2}{5} \cdot 10 x^{10 - 1}

Simplify

\frac{2}{5} \cdot 10 x^{10 - 1} : 4 x^{9}

= 4 x^{9}

t^{3} sin (t)

f (x) = 4 t^{- \frac{1}{8}}

\int \frac{1}{12 y - 10 y ^{2}} d y

\int \frac{sin ( x )}{x ^{3}} d x

f (x) = cos (cos (cos (x)))

What is the derivative of 2/5 x^{10} ?
The derivative of 2/5 x^{10} is 4x^9
What is the first derivative of 2/5 x^{10} ?
The first derivative of 2/5 x^{10} is 4x^9