limit as (x,y) approaches (0,0) of (x^2+y^2)/(9+y^2)

解答

(x, y) \to (0, 0) lim (\frac{x ^{2} + y ^{2}}{9 + y ^{2}})

0

求解步骤

(x, y) \to (0, 0) lim (\frac{x ^{2} + y ^{2}}{9 + y ^{2}})

代入值

(x, y) = (0, 0)

= \frac{0 ^{2} + 0 ^{2}}{9 + 0 ^{2}}

化简

= 0

5 \frac{d y}{d x} - 15 x^{2} = 0

d er i v a t i v e y = x^{2} e^{x} - 2 x e^{x} + 2 e^{x}

e^{2 y} y^{^{'}} = 1 - e^{2 y}

a re a y = \frac{3}{x}, y = 4 - x

s l o p e (1, 4), (- 9, - 10)