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 1/(3+2x)

解答

切线

\frac{1}{3 + 2 x}

解答

y = - \frac{2}{( 3 + 2 a _{0} ) ^{2}} x + \frac{4 a _{0} + 3}{( 2 a _{0} + 3 ) ^{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}{3 + 2 a _{0}})

计算

y = \frac{1}{3 + 2 x}

的斜率:

\frac{d y}{d x} = - \frac{2}{( 3 + 2 x ) ^{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{2}{( 3 + 2 a _{0} ) ^{2}}

找到斜率 m=

- \frac{2}{( 3 + 2 a _{0} ) ^{2}}

且穿过

(a_{0}, \frac{1}{3 + 2 a _{0}})

的直线:

y = - \frac{2}{( 3 + 2 a _{0} ) ^{2}} x + \frac{4 a _{0} + 3}{( 2 a _{0} + 3 ) ^{2}}

y = - \frac{2}{( 3 + 2 a _{0} ) ^{2}} x + \frac{4 a _{0} + 3}{( 2 a _{0} + 3 ) ^{2}}

作图

流行的例子

泰勒 1/(sqrt(1-x)),0

t a y l or \frac{1}{1 - x}, 0

limit as x approaches 0+of ln^2(x)

x \to 0 + lim (ln^{2} (x))

limit as x approaches 2 of (x+6)/(x^2)

x \to 2 lim (\frac{x + 6}{x ^{2}})

limit as x approaches 0.9 of x^2+3x+2

x \to 0.9 lim (x^{2} + 3 x + 2)

derivative f(x)=e^{-2.5x^2}

d er i v a t i v e f (x) = e^{- 2.5 x^{2}}