What is the derivative of 30e^{-x^{2/3}} ?

The derivative of 30e^{-x^{2/3}} is -(20e^{-x^{2/3}})/(x^{1/3)}

What is the first derivative of 30e^{-x^{2/3}} ?

The first derivative of 30e^{-x^{2/3}} is -(20e^{-x^{2/3}})/(x^{1/3)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

30 e^{- x^{\frac{2}{3}}}

- \frac{20 e ^{- x^{\frac{2}{3}}}}{x ^{\frac{1}{3}}}

Solution steps

\frac{d}{d x} (30 e^{- x^{\frac{2}{3}}})

Take the constant out:

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

= 30 \frac{d}{d x} (e^{- x^{\frac{2}{3}}})

Apply the chain rule:

e^{- x^{\frac{2}{3}}} \frac{d}{d x} (- x^{\frac{2}{3}})

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

\frac{d}{d x} (- x^{\frac{2}{3}}) = - \frac{2}{3 x ^{\frac{1}{3}}}

= 30 e^{- x^{\frac{2}{3}}} (- \frac{2}{3 x ^{\frac{1}{3}}})

Simplify

30 e^{- x^{\frac{2}{3}}} (- \frac{2}{3 x ^{\frac{1}{3}}}) : - \frac{20 e ^{- x^{\frac{2}{3}}}}{x ^{\frac{1}{3}}}

= - \frac{20 e ^{- x^{\frac{2}{3}}}}{x ^{\frac{1}{3}}}

y = arcsin (x)

y = (x^{2} + 3 x - 2)^{4}

\int \frac{1}{x ^{2} + 7 x + 6} d x

x \to - 2 lim (\frac{8}{x - 3})

\frac{\partial}{\partial u} (u^{9} + v^{5})

What is the derivative of 30e^{-x^{2/3}} ?
The derivative of 30e^{-x^{2/3}} is -(20e^{-x^{2/3}})/(x^{1/3)}
What is the first derivative of 30e^{-x^{2/3}} ?
The first derivative of 30e^{-x^{2/3}} is -(20e^{-x^{2/3}})/(x^{1/3)}