What is the derivative of e^{(-x^2/8}) ?

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

What is the first derivative of e^{(-x^2/8}) ?

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

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

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

Solution steps

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

Simplify

e^{\frac{- x ^{2}}{8}} : e^{- \frac{x ^{2}}{8}}

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

Apply the chain rule:

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

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

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

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

Simplify

e^{- \frac{x ^{2}}{8}} (- \frac{x}{4}) : - \frac{e ^{- \frac{x ^{2}}{8}} x}{4}

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

\int (ln (x))^{4} \frac{1}{x} d x

\int_{3}^{4} \frac{x}{x ^{2} - 1} d x

\int \frac{1}{( x - 3 )} d x

\frac{y}{x}

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

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