Question Function Find the first partial derivative with respect to x Find the first partial derivative with respect to y ∂x∂q=21y Simplify q=2xyFind the first partial derivative by treating the variable y as a constant and differentiating with respect to x ∂x∂q=∂x∂(2xy)Use differentiation rules ∂x∂q=21×∂x∂(xy)Solution More Steps Evaluate ∂x∂(xy)Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x)) y×∂x∂(x)Use ∂x∂xn=nxn−1 to find derivative y×1Multiply the terms y ∂x∂q=21y Show Solution Solve the equation Solve for x Solve for y x=y2q Evaluate q=2xyRewrite the expression q=2yxSwap the sides of the equation 2yx=qCross multiply yx=2qDivide both sides yyx=y2qSolution x=y2q Show Solution