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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\frac{\partial}{\partial y} (e^{x} cos (x + y))

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

n = 0 \sum \infty (\frac{1}{9})^{n}

\frac{d}{d x} (x + \frac{3}{x} + 5)

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