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 y= 1/(x+1)

解答

切线

y = \frac{1}{x + 1}

解答

y = - \frac{1}{( a _{0} + 1 ) ^{2}} x + \frac{2 a _{0} + 1}{( a _{0} + 1 ) ^{2}}

求解步骤

计算在一般点

x = a_{0}

的切线

找到切点:

(a_{0}, \frac{1}{a _{0} + 1})

计算

y = \frac{1}{x + 1}

的斜率:

\frac{d y}{d x} = - \frac{1}{( x + 1 ) ^{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{1}{( a _{0} + 1 ) ^{2}}

找到斜率 m=

- \frac{1}{( a _{0} + 1 ) ^{2}}

且穿过

(a_{0}, \frac{1}{a _{0} + 1})

的直线:

y = - \frac{1}{( a _{0} + 1 ) ^{2}} x + \frac{2 a _{0} + 1}{( a _{0} + 1 ) ^{2}}

y = - \frac{1}{( a _{0} + 1 ) ^{2}} x + \frac{2 a _{0} + 1}{( a _{0} + 1 ) ^{2}}

作图

流行的例子

integral of (7x^2)/(sqrt(x^2-4))

\int \frac{7 x ^{2}}{x ^{2} - 4} d x

integral of x^2+xy^2+z

\int x^{2} + x y^{2} + z d x

derivative 4/(x-5)

d er i v a t i v e \frac{4}{x - 5}

(\partial)/(\partial x)(x/(y+2z))

\frac{\partial}{\partial x} (\frac{x}{y + 2 z})

integral of e^{-y/2}

\int e^{- \frac{y}{2}} d y