Find dA/dp A=pr^2

Problem

d(A)/d(p)* where *A=p*r2

Solution

1. Identify the independent variable and the dependent variable in the expression A=p*r2 Here, A is the function and p is the variable with respect to which we are differentiating.

2. Treat the variable r as a constant, since the task asks for the derivative specifically with respect to p

3. Apply the power rule for differentiation, which states that (d(c)*p)/d(p)=c for any constant c In this case, c=r2

4. Differentiate the expression with respect to p

d(A)/d(p)=(d(p)*r2)/d(p)

d(A)/d(p)=r2⋅d(p)/d(p)

d(A)/d(p)=r2⋅1

Final Answer

d(A)/d(p)=r2

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