What is the first derivative of ke^x ?

The first derivative of ke^x is ke^x

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derivative of ke^x

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

k e^{x}

Solution steps

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

Take the constant out:

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

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

Apply the common derivative:

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

= k e^{x}

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