1/2 *2x*(x^2 +y^2)^-1/2
= 1/2 * 2x/√(x^2+y^2)
= x/√(x^2+y^2)
your answer is correct.
if z = √(x^2+y^2)
then ∂z/∂x = x/√(x^2+y^2)
How does 1/2 *2x*(x^2 +y^2)^-1/2 equal x/(x^2 +y^2) and not x/√(x^2 +y^2)?
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