Question - Finding the Derivative of an Exponential Function

\(\frac{d}{dx}f(x) = \frac{d}{dx}(2 \cdot 5^x)\)

\(= 2 \cdot \frac{d}{dx}(5^x)\)

\(= 2 \cdot 5^x \ln(5)\)

Thus, \(f'(x) = 2 \cdot 5^x \ln(5)\).