What is the first derivative of 3e^y ?

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

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derivative of 3e^y

derivative of

3 e^{y}

3 e^{y}

Solution steps

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

Take the constant out:

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

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

Apply the common derivative:

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

= 3 e^{y}