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Find the Derivative - d/dx y=8^x

Problem

d()/d(x)*8

Solution

  1. Identify the form of the function, which is an exponential function of the form ax where a=8

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

  3. Substitute the value a=8 into the formula to obtain the derivative.

Final Answer

d(8)/d(x)=8*ln(8)


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