What is the derivative of e^{8e^x} ?

The derivative of e^{8e^x} is 8e^{8e^x+x}

What is the first derivative of e^{8e^x} ?

The first derivative of e^{8e^x} is 8e^{8e^x+x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

e^{8 e^{x}}

8 e^{8 e^{x} + x}

Solution steps

\frac{d}{d x} (e^{8 e^{x}})

Apply the chain rule:

e^{8 e^{x}} \frac{d}{d x} (8 e^{x})

= e^{8 e^{x}} \frac{d}{d x} (8 e^{x})

\frac{d}{d x} (8 e^{x}) = 8 e^{x}

= e^{8 e^{x}} \cdot 8 e^{x}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{8 e^{x}} e^{x} = e^{8 e^{x} + x}

= 8 e^{8 e^{x} + x}

\int_{5}^{\infty} x e^{- 3 x} d x

\int_{0}^{8} x + 1 d x

\int e^{20 t} 6 sin (2 t) d t

\frac{d x}{d t} + 0.1 x = 10

\int \frac{6 s ^{2} - 2}{s ^{3}} d s

What is the derivative of e^{8e^x} ?
The derivative of e^{8e^x} is 8e^{8e^x+x}
What is the first derivative of e^{8e^x} ?
The first derivative of e^{8e^x} is 8e^{8e^x+x}