What is the derivative of 3.23e^{-61.4t} ?

The derivative of 3.23e^{-61.4t} is -198.322e^{-61.4t}

What is the first derivative of 3.23e^{-61.4t} ?

The first derivative of 3.23e^{-61.4t} is -198.322e^{-61.4t}

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derivative of

3.23 e^{- 61.4 t}

- 198.322 e^{- 61.4 t}

Solution steps

\frac{d}{d t} (3.23 e^{- 61.4 t})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 3.23 \frac{d}{d t} (e^{- 61.4 t})

Apply the chain rule:

e^{- 61.4 t} \frac{d}{d t} (- 61.4 t)

= e^{- 61.4 t} \frac{d}{d t} (- 61.4 t)

\frac{d}{d t} (- 61.4 t) = - 61.4

= 3.23 e^{- 61.4 t} (- 61.4)

Simplify

= - 198.322 e^{- 61.4 t}

What is the derivative of 3.23e^{-61.4t} ?
The derivative of 3.23e^{-61.4t} is -198.322e^{-61.4t}
What is the first derivative of 3.23e^{-61.4t} ?
The first derivative of 3.23e^{-61.4t} is -198.322e^{-61.4t}