Question Function Find the first partial derivative with respect to r Find the first partial derivative with respect to ω ∂r∂v=ω Simplify v=rωFind the first partial derivative by treating the variable ω as a constant and differentiating with respect to r ∂r∂v=∂r∂(rω)Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x)) ∂r∂v=ω×∂r∂(r)Use ∂x∂xn=nxn−1 to find derivative ∂r∂v=ω×1Solution ∂r∂v=ω Show Solution Solve the equation Solve for ω Solve for r Solve for v ω=rv Evaluate v=rωSwap the sides of the equation rω=vDivide both sides rrω=rvSolution ω=rv Show Solution
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