What is the first derivative of 3e^t ?

The first derivative of 3e^t is 3e^t

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derivative of 3e^t

derivative of

3 e^{t}

3 e^{t}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the common derivative:

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

= 3 e^{t}

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