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

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

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

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

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

- e^{- x}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (- x) = - 1

= e^{- x} (- 1)

Simplify

= - e^{- x}

\int 3 x d x

\frac{d}{d x} ((tan (x))^{s e c (x)})

\int tan^{2} (y) + 1 d y

\frac{\partial}{\partial x} (2 x^{2} + y^{2} - 4 y + 4)

0.5 (e^{x} + e^{- x}), 0 \leq x \leq ln (2)

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