Question

y²-2y=x求导,求y的导,要用x表示

Answer 1

y²-2y = x

y²-2y+1 = x+1

(y-1)² = x+1

y = ±√(x+1) + 1

= √(x+1) + 1 或 -√(x+1) + 1

y' = 1/[2√(x+1)] 或 y' = -1/[2√(x+1)]

∴y' = ±1/[2√(x+1)]