What is the derivative of e^{-2ax} ?

The derivative of e^{-2ax} is -2ae^{-2ax}

What is the first derivative of e^{-2ax} ?

The first derivative of e^{-2ax} is -2ae^{-2ax}

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derivative of

e^{- 2 a x}

- 2 a e^{- 2 a x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= - 2 a e^{- 2 a x}

What is the derivative of e^{-2ax} ?
The derivative of e^{-2ax} is -2ae^{-2ax}
What is the first derivative of e^{-2ax} ?
The first derivative of e^{-2ax} is -2ae^{-2ax}