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