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

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

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

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

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derivative of

e^{t + 7}

e^{t + 7}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d t} (t + 7) = 1

= e^{t + 7} \cdot 1

Simplify

= e^{t + 7}

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