Question Function Find the first partial derivative with respect to p Find the first partial derivative with respect to ω ∂p∂t=2ω Simplify t=2pωFind the first partial derivative by treating the variable ω as a constant and differentiating with respect to p ∂p∂t=∂p∂(2pω)Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x)) ∂p∂t=2ω×∂p∂(p)Use ∂x∂xn=nxn−1 to find derivative ∂p∂t=2ω×1Solution ∂p∂t=2ω Show Solution Solve the equation Solve for ω Solve for p ω=2pt Evaluate t=2pωSwap the sides of the equation 2pω=tDivide both sides 2p2pω=2ptSolution ω=2pt Show Solution
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