Find the Derivative - d/dx 2^x

Problem

d(2^x)/d(x)

Solution

1. Identify the form of the function, which is an exponential function of the form a^x where a=2

2. Apply the formula for the derivative of a general exponential function, which states that d(a^x)/d(x)=a^x*ln(a)

3. Substitute the value a=2 into the derivative formula.

Final Answer

d(2^x)/d(x)=2^x*ln(2)

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