What is the derivative of e^{-4t} ?

The derivative of e^{-4t} is -4e^{-4t}

What is the first derivative of e^{-4t} ?

The first derivative of e^{-4t} is -4e^{-4t}

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derivative of

e^{- 4 t}

- 4 e^{- 4 t}

Solution steps

\frac{d}{d t} (e^{- 4 t})

Apply the chain rule:

e^{- 4 t} \frac{d}{d t} (- 4 t)

= e^{- 4 t} \frac{d}{d t} (- 4 t)

\frac{d}{d t} (- 4 t) = - 4

= e^{- 4 t} (- 4)

Simplify

= - 4 e^{- 4 t}

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What is the derivative of e^{-4t} ?
The derivative of e^{-4t} is -4e^{-4t}
What is the first derivative of e^{-4t} ?
The first derivative of e^{-4t} is -4e^{-4t}