Find the Derivative - d/da a^x

Problem

d(ax)/d(a)

Solution

1. Identify the variable of differentiation, which is a

2. Recognize that the expression ax is a power function where the base is the variable a and the exponent x is treated as a constant.

3. Apply the power rule for differentiation, which states that d(un)/d(u)=n*u(n−1)

4. Substitute a for u and x for n to find the derivative.

Final Answer

d(ax)/d(a)=x*a(x−1)

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