Question

If `sqrt(("x + y")) + sqrt (("y - x")) = "a", "then"  "dy"/"dx" =` ____________.

Options

• `(sqrt(("x + y")) - sqrt (("y - x")))/(sqrt("y - x") + sqrt("x + y"))`

• `(2 sqrt("x - y"))/(sqrt("x + y") - sqrt("x - y"))`

• `("x + y" + sqrt("xy"))/sqrt("x + y")`

• `("x"^2 + "y"^2 + 2"xy")/("x"^2 + "y"^2)`

Answer 1

If `sqrt(("x + y")) + sqrt (("y - x")) = "a", "then"  "dy"/"dx" =` `underline((sqrt(("x + y")) - sqrt (("y - x")))/(sqrt("y - x") + sqrt("x + y")))`.