What is the derivative of f(x)=9x^4 ?

The derivative of f(x)=9x^4 is 36x^3

What is the first derivative of f(x)=9x^4 ?

The first derivative of f(x)=9x^4 is 36x^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = 9 x^{4}

36 x^{3}

Solution steps

\frac{d}{d x} (9 x^{4})

Take the constant out:

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

= 9 \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= 9 \cdot 4 x^{4 - 1}

Simplify

= 36 x^{3}

\int \frac{5 - x}{5 + x} d x

\int 12 (3 x + 1)^{3} d x

\int (\frac{3}{2}) d x

\frac{d}{d x} ((x^{2} + 1)^{3} (x^{2} + 2)^{6})

\int_{2}^{3} \frac{14}{3 - x} d x

What is the derivative of f(x)=9x^4 ?
The derivative of f(x)=9x^4 is 36x^3
What is the first derivative of f(x)=9x^4 ?
The first derivative of f(x)=9x^4 is 36x^3