Question Function Find the first partial derivative with respect to x Find the first partial derivative with respect to c ∂x∂y=3c Simplify y=3xcFind the first partial derivative by treating the variable c as a constant and differentiating with respect to x ∂x∂y=∂x∂(3xc)Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x)) ∂x∂y=3c×∂x∂(x)Use ∂x∂xn=nxn−1 to find derivative ∂x∂y=3c×1Solution ∂x∂y=3c Show Solution Solve the equation Solve for x Solve for c x=3cy Evaluate y=3xcRewrite the expression y=3cxSwap the sides of the equation 3cx=yDivide both sides 3c3cx=3cySolution x=3cy Show Solution
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