What is the derivative of f(x)=10x^4 ?

The derivative of f(x)=10x^4 is 40x^3

What is the first derivative of f(x)=10x^4 ?

The first derivative of f(x)=10x^4 is 40x^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) = 10 x^{4}

40 x^{3}

Solution steps

\frac{d}{d x} (10 x^{4})

Take the constant out:

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

= 10 \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= 10 \cdot 4 x^{4 - 1}

Simplify

= 40 x^{3}

\frac{d}{d x} (9 x^{4} y^{8} - 2 x^{m} y^{5} - x^{9} y^{n})

\int_{0}^{1} e^{x^{5}} d x

n = 5 \sum \infty \frac{7 ^{n}}{1 0 ^{n}}

y^{^{'}} - y = 4 t e^{2 t}, y (0) = 1

t \cdot y^{^{'}} + t \cdot y = 1 - y

What is the derivative of f(x)=10x^4 ?
The derivative of f(x)=10x^4 is 40x^3
What is the first derivative of f(x)=10x^4 ?
The first derivative of f(x)=10x^4 is 40x^3