What is the first d/(dt)(e^{4t}) ?

The first d/(dt)(e^{4t}) is e^{4t}*4

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d/(dt)(e^{4t})

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

e^{4 t} \cdot 4

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} \cdot 4

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