What is the derivative of y=e^{-2x^3} ?

The derivative of y=e^{-2x^3} is -6e^{-2x^3}x^2

What is the first derivative of y=e^{-2x^3} ?

The first derivative of y=e^{-2x^3} is -6e^{-2x^3}x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = e^{- 2 x^{3}}

- 6 e^{- 2 x^{3}} x^{2}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (- 2 x^{3}) = - 6 x^{2}

= e^{- 2 x^{3}} (- 6 x^{2})

Simplify

= - 6 e^{- 2 x^{3}} x^{2}

\frac{x ^{2}}{3 + x}

\frac{d y}{d x} + y cos (x) = 5 cos (x), y (0) = 7

\frac{d}{d x} (x^{7})

\frac{\partial}{\partial x} (9 e^{y} (y^{2} - x^{2}))

What is the derivative of y=e^{-2x^3} ?
The derivative of y=e^{-2x^3} is -6e^{-2x^3}x^2
What is the first derivative of y=e^{-2x^3} ?
The first derivative of y=e^{-2x^3} is -6e^{-2x^3}x^2