Question Function Find the first partial derivative with respect to r Find the first partial derivative with respect to h ∂r∂v=2πrh Simplify v=πr2hFind the first partial derivative by treating the variable h as a constant and differentiating with respect to r ∂r∂v=∂r∂(πr2h)Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x)) ∂r∂v=πh×∂r∂(r2)Use ∂x∂xn=nxn−1 to find derivative ∂r∂v=πh×2rSolution ∂r∂v=2πrh Show Solution Solve the equation Solve for h Solve for r h=πr2v Evaluate v=πr2hSwap the sides of the equation πr2h=vDivide both sides πr2πr2h=πr2vSolution h=πr2v Show Solution
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