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)= 3/(x^{1/2)}

解答

切线

f (x) = \frac{3}{x ^{\frac{1}{2}}}

解答

y = - \frac{3}{2 a _{0}^{\frac{3}{2}}} x + \frac{9}{2 a _{0}^{\frac{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{3}{a _{0}^{\frac{1}{2}}})

计算

f (x) = \frac{3}{x ^{\frac{1}{2}}}

的斜率:

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

找到斜率 m=

- \frac{3}{2 a _{0}^{\frac{3}{2}}}

且穿过

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

的直线:

y = - \frac{3}{2 a _{0}^{\frac{3}{2}}} x + \frac{9}{2 a _{0}^{\frac{1}{2}}}

y = - \frac{3}{2 a _{0}^{\frac{3}{2}}} x + \frac{9}{2 a _{0}^{\frac{1}{2}}}

作图

流行的例子

limit as x approaches 3+of (x+2)/(x+3)

x \to 3 + lim (\frac{x + 2}{x + 3})

斜率 (-6,-7),(-24,-7)

s l o p e (- 6, - 7), (- 24, - 7)

integral of e^{3x}e^{-5x}

\int e^{3 x} e^{- 5 x} d x

(\partial)/(\partial x)((x-y)/(30-y))

\frac{\partial}{\partial x} (\frac{x - y}{30 - y})

derivative of ln(3^xsec^3(4x))

\frac{d}{d x} (ln (3^{x} sec^{3} (4 x)))