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-sqrt(x)

解答

切线

x^{2} - x

解答

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

求解步骤

计算在一般点

x = a_{0}

的切线

找到切点:

(a_{0}, a_{0}^{2} - a_{0})

计算

y = x^{2} - x

的斜率:

\frac{d y}{d x} = 2 x - \frac{1}{2 x}

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 = 2 a_{0} - \frac{1}{2 a _{0}}

找到斜率 m=

2 a_{0} - \frac{1}{2 a _{0}}

且穿过

(a_{0}, a_{0}^{2} - a_{0})

的直线:

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

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

作图

流行的例子

limit as x approaches 0 of (|x|)/(2x)

x \to 0 lim (\frac{∣ x ∣}{2 x})

(\partial)/(\partial x)(2y+xy+ye^y-e^y)

\frac{\partial}{\partial x} (2 y + x y + y e^{y} - e^{y})

integral of 5/(x^2-1)

\int \frac{5}{x ^{2} - 1} d x

derivative of 2^x+x

\frac{d}{d x} (2^{x} + x)

limit as x approaches 2 of 1/(x^2)

x \to 2 lim (\frac{1}{x ^{2}})