Find the Derivative - d/dx 3^x

Problem

d(3^x)/d(x)

Solution

1. Identify the form of the function, which is an exponential function of the form a^x where a=3

2. Apply the rule for differentiating exponential functions with a constant base, which states d(a^x)/d(x)=a^x*ln(a)

3. Substitute the value a=3 into the formula to find the derivative.

Final Answer

d(3^x)/d(x)=3^x*ln(3)

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