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受欢迎的微积分 >

tangent (e^2)/(x^2-2x)

解答

切线

\frac{e ^{2}}{x ^{2} - 2 x}

解答

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

计算

y = \frac{e ^{2}}{x ^{2} - 2 x}

的斜率:

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

找到斜率 m=

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

且穿过

(a_{0}, \frac{e ^{2}}{a _{0}^{2} - 2 a _{0}})

的直线:

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

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

作图

流行的例子

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