What is the first derivative of 5e^x ?

The first derivative of 5e^x is 5e^x

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derivative of 5e^x

derivative

5 e^{x}

Solution steps

\frac{d}{d x} (5 e^{x})

Take the constant out:

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

= 5 \frac{d}{d x} (e^{x})

Apply the common derivative:

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

= 5 e^{x}