Find dv/dp v=4/3*(pr^3)

Problem

d(v)/d(p)* where *v=4/3*π*r3

Solution

1. Identify the independent variable and the constant terms in the expression v=4/3*π*r3

2. Recognize that the variable p does not appear in the expression for v meaning v is treated as a constant with respect to p

3. Apply the constant rule for differentiation, which states that the derivative of a constant is zero.

4. Conclude that the rate of change of v with respect to p is 0

Final Answer

d(v)/d(p)=0

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