Question Function Find the first partial derivative with respect to x Find the first partial derivative with respect to y ∂x∂z=y Simplify z=xyFind the first partial derivative by treating the variable y as a constant and differentiating with respect to x ∂x∂z=∂x∂(xy)Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x)) ∂x∂z=y×∂x∂(x)Use ∂x∂xn=nxn−1 to find derivative ∂x∂z=y×1Solution ∂x∂z=y Show Solution Solve the equation Solve for x Solve for y x=yz Evaluate z=xyRewrite the expression z=yxSwap the sides of the equation yx=zDivide both sides yyx=yzSolution x=yz Show Solution
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