What is the derivative of f(x)=2x^4 ?

The derivative of f(x)=2x^4 is 8x^3

What is the first derivative of f(x)=2x^4 ?

The first derivative of f(x)=2x^4 is 8x^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) = 2 x^{4}

8 x^{3}

Solution steps

\frac{d}{d x} (2 x^{4})

Take the constant out:

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

= 2 \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= 2 \cdot 4 x^{4 - 1}

Simplify

= 8 x^{3}

\frac{d}{d x} (sin (x^{2} y^{2}))

\frac{\partial}{\partial y} (4 x ln (y))

f (x) = 3 x^{2} - x^{3}, (1, 2)

(- 3, - 5), (- 2, - 3)

\frac{d}{d x} ((1 + x) e^{- x})

What is the derivative of f(x)=2x^4 ?
The derivative of f(x)=2x^4 is 8x^3
What is the first derivative of f(x)=2x^4 ?
The first derivative of f(x)=2x^4 is 8x^3