What is the derivative of (e^x)^4 ?

The derivative of (e^x)^4 is e^{4x}*4

What is the first derivative of (e^x)^4 ?

The first derivative of (e^x)^4 is e^{4x}*4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

(e^{x})^{4}

e^{4 x} \cdot 4

Solution steps

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

Simplify

(e^{x})^{4} : e^{4 x}

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

Apply the chain rule:

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

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

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

= e^{4 x} \cdot 4

\frac{1}{( x ^{2} + 4 )}

(x^{2} + 3 x)^{15}

f (x) = cos^{3} (3 x - 1)

\frac{900}{x}

2 x^{- 1}

What is the derivative of (e^x)^4 ?
The derivative of (e^x)^4 is e^{4x}*4
What is the first derivative of (e^x)^4 ?
The first derivative of (e^x)^4 is e^{4x}*4