Find the Derivative - d/dx f(x)=9^x

Problem

d(9^x)/d(x)

Solution

1. Identify the form of the function, which is an exponential function of the form a^x where a=9

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

3. Substitute the value a=9 into the formula to obtain the derivative.

Final Answer

d(9^x)/d(x)=9^x*ln(9)

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