Question Function Find the first partial derivative with respect to b Find the first partial derivative with respect to h ∂b∂A=21h Simplify A=2bhFind the first partial derivative by treating the variable h as a constant and differentiating with respect to b ∂b∂A=∂b∂(2bh)Use differentiation rules ∂b∂A=21×∂b∂(bh)Solution More Steps Evaluate ∂b∂(bh)Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x)) h×∂b∂(b)Use ∂x∂xn=nxn−1 to find derivative h×1Multiply the terms h ∂b∂A=21h Show Solution Solve the equation Solve for b Solve for h b=h2A Evaluate A=2bhRewrite the expression A=2hbSwap the sides of the equation 2hb=ACross multiply hb=2ADivide both sides hhb=h2ASolution b=h2A Show Solution
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