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 f(x)=7 x/((3+x^2)),\at x=2

解答

切线

f (x) = 7 \frac{x}{( 3 + x ^{2} )}, at x = 2

解答

y = - \frac{1}{7} x + \frac{16}{7}

求解步骤

找到切点:

(2, 2)

计算

f (x) = 7 \frac{x}{3 + x ^{2}}

的斜率:

\frac{df ( x )}{d x} = \frac{7 ( 3 - x ^{2} )}{( 3 + 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{1}{7}

找到斜率 m=

- \frac{1}{7}

且穿过

(2, 2)

的直线:

y = - \frac{1}{7} x + \frac{16}{7}

y = - \frac{1}{7} x + \frac{16}{7}

作图

流行的例子

integral of (y^2-y)

\int (y^{2} - y) d y

derivative of ln((3+e^{2x}/(3-e^{2x)}))

\frac{d}{d x} (ln (\frac{3 + e ^{2 x}}{3 - e ^{2 x}}))

integral from 0 to N of e^{-st}sin(3t)

\int_{0}^{N} e^{- s t} sin (3 t) d t

2 y^{^{'}} = y^{3} cos (x)

limit as x approaches 0 of x^4sin(2/x)

x \to 0 lim (x^{4} sin (\frac{2}{x}))