Question Function Find the first partial derivative with respect to ω Find the first partial derivative with respect to x ∂ω∂a=−2ωx Simplify a=−ω2xFind the first partial derivative by treating the variable x as a constant and differentiating with respect to ω ∂ω∂a=∂ω∂(−ω2x)Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x)) ∂ω∂a=−x×∂ω∂(ω2)Use ∂x∂xn=nxn−1 to find derivative ∂ω∂a=−x×2ωSolution ∂ω∂a=−2ωx Show Solution Solve the equation Solve for x Solve for ω x=−ω2a Evaluate a=−ω2xSwap the sides of the equation −ω2x=aDivide both sides −ω2−ω2x=−ω2aDivide the numbers x=−ω2aSolution x=−ω2a Show Solution
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