Question Function Find the first partial derivative with respect to p Find the first partial derivative with respect to r ∂p∂t=r Simplify t=prFind the first partial derivative by treating the variable r as a constant and differentiating with respect to p ∂p∂t=∂p∂(pr)Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x)) ∂p∂t=r×∂p∂(p)Use ∂x∂xn=nxn−1 to find derivative ∂p∂t=r×1Solution ∂p∂t=r Show Solution Solve the equation Solve for p Solve for r p=rt Evaluate t=prRewrite the expression t=rpSwap the sides of the equation rp=tDivide both sides rrp=rtSolution p=rt Show Solution
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