Question Function Find the first partial derivative with respect to p Find the first partial derivative with respect to t ∂p∂q=t Simplify q=ptFind the first partial derivative by treating the variable t as a constant and differentiating with respect to p ∂p∂q=∂p∂(pt)Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x)) ∂p∂q=t×∂p∂(p)Use ∂x∂xn=nxn−1 to find derivative ∂p∂q=t×1Solution ∂p∂q=t Show Solution Solve the equation Solve for p Solve for t p=tq Evaluate q=ptRewrite the expression q=tpSwap the sides of the equation tp=qDivide both sides ttp=tqSolution p=tq Show Solution
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