Find dy/dx y=7^x

Problem

d()/d(x)*7^x

Solution

1. Identify the form of the function, which is an exponential function of the form a^x where a=7

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

3. Substitute the value a=7 into the derivative formula.

Final Answer

d(y)/d(x)=7^x*ln(7)

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