Question Solve the equation Solve for x Solve for y Solve for z x=yz Evaluate xy=zRewrite the expression yx=zDivide both sides yyx=yzSolution x=yz Show Solution Find the partial derivative Find ∂x∂z by differentiating the equation directly Find ∂y∂z by differentiating the equation directly ∂x∂z=y Evaluate xy=zFind ∂x∂z by taking the derivative of both sides with respect to x ∂x∂(xy)=∂x∂(z)Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x)) y×∂x∂(x)=∂x∂(z)Use ∂x∂xn=nxn−1 to find derivative y×1=∂x∂(z)Multiply the terms y=∂x∂(z)Find the derivative y=∂x∂zSolution ∂x∂z=y Show Solution