What is the first derivative of 4e^t ?

The first derivative of 4e^t is 4e^t

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derivative of 4e^t

derivative of

4 e^{t}

4 e^{t}

Solution steps

\frac{d}{d t} (4 e^{t})

Take the constant out:

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

= 4 \frac{d}{d t} (e^{t})

Apply the common derivative:

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

= 4 e^{t}