The derivative of sqrt(xy) with respect to y is calculated using the Chain Rule. The correct approach involves rewriting sqrt(xy) as (xy)^(1/2) and applying the product rule alongside the chain rule. The final derivative is (1/2)(xy)^(-1/2)(x), which accounts for the differentiation of the inner function xy. The initial attempt failed to apply the Chain Rule correctly, leading to an incomplete solution.
PREREQUISITESStudents studying calculus, particularly those tackling derivatives and differentiation techniques. This discussion is beneficial for anyone seeking to improve their understanding of applying the Chain Rule and product rule in calculus.