Question - Determine the Derivative of the Exponential Function

Solution:

\( f(x) = 5e^x \)

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

\( f'(x) = 5\frac{d}{dx}(e^x) \) (Constant multiple rule)

\( f'(x) = 5e^x \) (Derivative of \( e^x \) is \( e^x \))

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