Find the Derivative - d/dr 4pr^2

Problem

d()/d(r)*4*π*r2

Solution

1. Identify the variable of differentiation, which is r and the constant coefficient, which is 4*π

2. Apply the power rule for derivatives, which states that d(rn)/d(r)=n*r(n−1)

3. Multiply the constant 4*π by the derivative of r2

4. Simplify the resulting expression by calculating 4*π⋅2*r

Final Answer

(d(4)*π*r2)/d(r)=8*π*r

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