Find dy/dx y=7^x

Problem

d()/d(x)*7

Solution

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

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

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

Final Answer

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

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