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Find the Derivative - d/dx 6^x

Problem

d(6)/d(x)

Solution

  1. Identify the form of the function as an exponential function ax where the base a is a constant and the exponent is the variable x

  2. Apply the rule for differentiating exponential functions, which states that d(ax)/d(x)=ax*ln(a)

  3. Substitute the constant a=6 into the derivative formula.

Final Answer

d(6)/d(x)=6*ln(6)


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