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

The derivative of e^{t/3} is e^{t/3} 1/3

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

The first derivative of e^{t/3} is e^{t/3} 1/3

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derivative of

e^{\frac{t}{3}}

e^{\frac{t}{3}} \frac{1}{3}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d t} (\frac{t}{3}) = \frac{1}{3}

= e^{\frac{t}{3}} \frac{1}{3}

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What is the derivative of e^{t/3} ?
The derivative of e^{t/3} is e^{t/3} 1/3
What is the first derivative of e^{t/3} ?
The first derivative of e^{t/3} is e^{t/3} 1/3