What is the derivative of e^{t/9} ?

The derivative of e^{t/9} is e^{t/9} 1/9

What is the first derivative of e^{t/9} ?

The first derivative of e^{t/9} is e^{t/9} 1/9

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derivative of

e^{\frac{t}{9}}

e^{\frac{t}{9}} \frac{1}{9}

Solution steps

\frac{d}{d t} (e^{\frac{t}{9}})

Apply the chain rule:

e^{\frac{t}{9}} \frac{d}{d t} (\frac{t}{9})

= e^{\frac{t}{9}} \frac{d}{d t} (\frac{t}{9})

\frac{d}{d t} (\frac{t}{9}) = \frac{1}{9}

= e^{\frac{t}{9}} \frac{1}{9}

What is the derivative of e^{t/9} ?
The derivative of e^{t/9} is e^{t/9} 1/9
What is the first derivative of e^{t/9} ?
The first derivative of e^{t/9} is e^{t/9} 1/9