Question Function Find the first partial derivative with respect to α Find the first partial derivative with respect to d ∂α∂r=d Simplify r=αdFind the first partial derivative by treating the variable d as a constant and differentiating with respect to α ∂α∂r=∂α∂(αd)Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x)) ∂α∂r=d×∂α∂(α)Use ∂x∂xn=nxn−1 to find derivative ∂α∂r=d×1Solution ∂α∂r=d Show Solution Solve the equation Solve for α Solve for d α=dr Evaluate r=αdRewrite the expression r=dαSwap the sides of the equation dα=rDivide both sides ddα=drSolution α=dr Show Solution
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