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

Problem

d()/d(x)*8^x

Solution

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

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

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

Final Answer

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

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