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

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

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

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

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

- 2 e^{- 2 x}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (- 2 x) = - 2

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

Simplify

= - 2 e^{- 2 x}

\int 3 y^{2} (e^{y^{3}} - 1) d y

n = 1001 \sum \infty \frac{1}{n}

\int_{0}^{5} x^{3} x^{2} + 25 d x

x y^{^{'}} + (11 + x) y = e^{- x}

\int \frac{x ^{3}}{x ^{2} + 36} d x

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