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

Problem

d()/d(x)*2

Solution

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

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

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

Final Answer

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

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