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

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

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

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

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derivative

- 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}

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