What is the derivative of a*e^x ?

The derivative of a*e^x is ae^x

What is the first derivative of a*e^x ?

The first derivative of a*e^x is ae^x

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\frac{d}{d x} (a \cdot e^{x})

a e^{x}

Solution steps

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

Take the constant out:

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

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

Apply the common derivative:

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

= a e^{x}