Question Function Find the first partial derivative with respect to y Find the first partial derivative with respect to z ∂y∂x=8yz2 Evaluate x=y2×4z2Use the commutative property to reorder the terms x=4y2z2Find the first partial derivative by treating the variable z as a constant and differentiating with respect to y ∂y∂x=∂y∂(4y2z2)Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x)) ∂y∂x=4z2×∂y∂(y2)Use ∂x∂xn=nxn−1 to find derivative ∂y∂x=4z2×2ySolution ∂y∂x=8yz2 Show Solution Solve the equation Solve for x Solve for y Solve for z x=4y2z2 Evaluate x=y2×4z2Solution x=4y2z2 Show Solution
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