What is the derivative of e^{ax^3} ?

The derivative of e^{ax^3} is e^{ax^3}*3ax^2

What is the first derivative of e^{ax^3} ?

The first derivative of e^{ax^3} is e^{ax^3}*3ax^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

e^{a x^{3}}

e^{a x^{3}} \cdot 3 a x^{2}

Solution steps

\frac{d}{d x} (e^{a x^{3}})

Apply the chain rule:

e^{a x^{3}} \frac{d}{d x} (a x^{3})

= e^{a x^{3}} \frac{d}{d x} (a x^{3})

\frac{d}{d x} (a x^{3}) = 3 a x^{2}

= e^{a x^{3}} \cdot 3 a x^{2}

\frac{d y}{d x} = e^{2 y + 8 x}

\frac{d}{d x} (sin^{3} (x^{2} + 7))

\frac{1}{2 s ^{2} + 8 s + 10}

\int \frac{1}{2} (x + y) e^{- x - y} d x

\frac{d}{d x} (\frac{1}{2} x^{\frac{4}{5}})

What is the derivative of e^{ax^3} ?
The derivative of e^{ax^3} is e^{ax^3}*3ax^2
What is the first derivative of e^{ax^3} ?
The first derivative of e^{ax^3} is e^{ax^3}*3ax^2