zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的微积分 >

tangent x^2-xy+2y-2=0

解答

切线

x^{2} - x y + 2 y - 2 = 0

解答

y = \frac{a _{0}^{2} - 4 a _{0} + 2}{( - a _{0} + 2 ) ^{2}} x + \frac{2 a _{0}^{2} - 4 a _{0} + 4}{( - a _{0} + 2 ) ^{2}}

求解步骤

计算在一般点

x = a_{0}

的切线

找到切点:

(a_{0}, \frac{- a _{0}^{2} + 2}{- a _{0} + 2})

计算

x^{2} - x y + 2 y - 2 = 0

的斜率:

\frac{d y}{d x} = \frac{x ^{2} - 4 x + 2}{( - x + 2 ) ^{2}}

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : m = \frac{a _{0}^{2} - 4 a _{0} + 2}{( - a _{0} + 2 ) ^{2}}

找到斜率 m=

\frac{a _{0}^{2} - 4 a _{0} + 2}{( - a _{0} + 2 ) ^{2}}

且穿过

(a_{0}, \frac{- a _{0}^{2} + 2}{- a _{0} + 2})

的直线:

y = \frac{a _{0}^{2} - 4 a _{0} + 2}{( - a _{0} + 2 ) ^{2}} x + \frac{2 a _{0}^{2} - 4 a _{0} + 4}{( - a _{0} + 2 ) ^{2}}

y = \frac{a _{0}^{2} - 4 a _{0} + 2}{( - a _{0} + 2 ) ^{2}} x + \frac{2 a _{0}^{2} - 4 a _{0} + 4}{( - a _{0} + 2 ) ^{2}}

作图

流行的例子

integral of angcos(x)

\int an g cos (x) d x

derivative (13)/(x+1)

d er i v a t i v e \frac{13}{x + 1}

integral of x^6sqrt(x^7+9)

\int x^{6} x^{7} + 9 d x

derivative ln(x^3sin^2(x))

d er i v a t i v e ln (x^{3} sin^{2} (x))

integral from-infinity to 2 of 2/(x^2+4)

\int_{- \infty}^{2} \frac{2}{x ^{2} + 4} d x