What is the derivative of e^{3t} ?

The derivative of e^{3t} is e^{3t}*3

What is the first derivative of e^{3t} ?

The first derivative of e^{3t} is e^{3t}*3

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derivative of

e^{3 t}

e^{3 t} \cdot 3

Solution steps

\frac{d}{d t} (e^{3 t})

Apply the chain rule:

e^{3 t} \frac{d}{d t} (3 t)

= e^{3 t} \frac{d}{d t} (3 t)

\frac{d}{d t} (3 t) = 3

= e^{3 t} \cdot 3

What is the derivative of e^{3t} ?
The derivative of e^{3t} is e^{3t}*3
What is the first derivative of e^{3t} ?
The first derivative of e^{3t} is e^{3t}*3