What is the derivative of e^{-5x^2} ?

The derivative of e^{-5x^2} is -10e^{-5x^2}x

What is the first derivative of e^{-5x^2} ?

The first derivative of e^{-5x^2} is -10e^{-5x^2}x

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derivative of

e^{- 5 x^{2}}

- 10 e^{- 5 x^{2}} x

Solution steps

\frac{d}{d x} (e^{- 5 x^{2}})

Apply the chain rule:

e^{- 5 x^{2}} \frac{d}{d x} (- 5 x^{2})

= e^{- 5 x^{2}} \frac{d}{d x} (- 5 x^{2})

\frac{d}{d x} (- 5 x^{2}) = - 10 x

= e^{- 5 x^{2}} (- 10 x)

Simplify

= - 10 e^{- 5 x^{2}} x

x \to - 4 lim (15)

n = 1 \sum \infty (\frac{1}{2})^{2}

x^{^{''}} - 2 x^{^{'}} + x = 24 t^{2} e^{t}

f (x) = x^{8 x}

\int \frac{sec ^{2} ( 8 x )}{tan ( 8 x ) - 6} d x

What is the derivative of e^{-5x^2} ?
The derivative of e^{-5x^2} is -10e^{-5x^2}x
What is the first derivative of e^{-5x^2} ?
The first derivative of e^{-5x^2} is -10e^{-5x^2}x