What is the derivative of e^{(-3x}) ?

The derivative of e^{(-3x}) is -3e^{-3x}

What is the first derivative of e^{(-3x}) ?

The first derivative of e^{(-3x}) is -3e^{-3x}

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\frac{d}{d x} (e^{(- 3 x)})

- 3 e^{- 3 x}

Solution steps

\frac{d}{d x} (e^{(- 3 x)})

Apply the chain rule:

e^{- 3 x} \frac{d}{d x} (- 3 x)

= e^{- 3 x} \frac{d}{d x} (- 3 x)

\frac{d}{d x} (- 3 x) = - 3

= e^{- 3 x} (- 3)

Simplify

= - 3 e^{- 3 x}

e^{- 3 z + 1} + 8

x^{\frac{2}{3}} + y^{\frac{2}{3}} = 5, (1, 8)

f (x) = \frac{2 x - 1}{2 x + 1}

t e^{- t}

\int (x + 3) e^{x^{2} + 6 x} d x

What is the derivative of e^{(-3x}) ?
The derivative of e^{(-3x}) is -3e^{-3x}
What is the first derivative of e^{(-3x}) ?
The first derivative of e^{(-3x}) is -3e^{-3x}