Find the Derivative - d/dx y=2^x

Problem

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

Solution

1. Identify the form of the function as an exponential function a^x where the base a=2 is a constant.

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

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

Final Answer

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

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