Find dV/dr V=4/3*(pr^3)

Problem

d(V)/d(r)* where *V=4/3*π*r^3

Solution

1. Identify the function to be differentiated with respect to the variable r which is V=4/3*π*r^3

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

3. Multiply the constant coefficient 4/3*π by the derivative of r^3

4. Simplify the resulting expression by canceling the 3 in the numerator and denominator.

Final Answer

d(V)/d(r)=4*π*r^2

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