What is the derivative of e^{7t} ?

The derivative of e^{7t} is e^{7t}*7

What is the first derivative of e^{7t} ?

The first derivative of e^{7t} is e^{7t}*7

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derivative of

e^{7 t}

e^{7 t} \cdot 7

Solution steps

\frac{d}{d t} (e^{7 t})

Apply the chain rule:

e^{7 t} \frac{d}{d t} (7 t)

= e^{7 t} \frac{d}{d t} (7 t)

\frac{d}{d t} (7 t) = 7

= e^{7 t} \cdot 7

What is the derivative of e^{7t} ?
The derivative of e^{7t} is e^{7t}*7
What is the first derivative of e^{7t} ?
The first derivative of e^{7t} is e^{7t}*7