What is the derivative of e^{-4x^2} ?

The derivative of e^{-4x^2} is -8e^{-4x^2}x

What is the first derivative of e^{-4x^2} ?

The first derivative of e^{-4x^2} is -8e^{-4x^2}x

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derivative of

e^{- 4 x^{2}}

- 8 e^{- 4 x^{2}} x

Solution steps

\frac{d}{d x} (e^{- 4 x^{2}})

Apply the chain rule:

e^{- 4 x^{2}} \frac{d}{d x} (- 4 x^{2})

= e^{- 4 x^{2}} \frac{d}{d x} (- 4 x^{2})

\frac{d}{d x} (- 4 x^{2}) = - 8 x

= e^{- 4 x^{2}} (- 8 x)

Simplify

= - 8 e^{- 4 x^{2}} x

x \to - 1 lim (16 - 4 x)

\int ((y) ln (1 + y)) d y

\int (2 + \frac{5}{7} x - 6 x^{2}) d x

\frac{d}{d x} ((x - 5) x - 5)

x \to 0 lim (\frac{( x - 1 ) ^{3} - 1}{x})

What is the derivative of e^{-4x^2} ?
The derivative of e^{-4x^2} is -8e^{-4x^2}x
What is the first derivative of e^{-4x^2} ?
The first derivative of e^{-4x^2} is -8e^{-4x^2}x