What is the derivative of e^{6t} ?

The derivative of e^{6t} is e^{6t}*6

What is the first derivative of e^{6t} ?

The first derivative of e^{6t} is e^{6t}*6

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derivative of

e^{6 t}

e^{6 t} \cdot 6

Solution steps

\frac{d}{d t} (e^{6 t})

Apply the chain rule:

e^{6 t} \frac{d}{d t} (6 t)

= e^{6 t} \frac{d}{d t} (6 t)

\frac{d}{d t} (6 t) = 6

= e^{6 t} \cdot 6

What is the derivative of e^{6t} ?
The derivative of e^{6t} is e^{6t}*6
What is the first derivative of e^{6t} ?
The first derivative of e^{6t} is e^{6t}*6