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受欢迎的微积分 >

tangent (x-3)/(9x-2)

解答

切线

\frac{x - 3}{9 x - 2}

解答

y = \frac{25}{( 9 a _{0} - 2 ) ^{2}} x + \frac{9 a _{0}^{2} - 54 a _{0} + 6}{( 9 a _{0} - 2 ) ^{2}}

求解步骤

计算在一般点

x = a_{0}

的切线

找到切点:

(a_{0}, \frac{a _{0} - 3}{9 a _{0} - 2})

计算

y = \frac{x - 3}{9 x - 2}

的斜率:

\frac{d y}{d x} = \frac{25}{( 9 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{25}{( 9 a _{0} - 2 ) ^{2}}

找到斜率 m=

\frac{25}{( 9 a _{0} - 2 ) ^{2}}

且穿过

(a_{0}, \frac{a _{0} - 3}{9 a _{0} - 2})

的直线:

y = \frac{25}{( 9 a _{0} - 2 ) ^{2}} x + \frac{9 a _{0}^{2} - 54 a _{0} + 6}{( 9 a _{0} - 2 ) ^{2}}

y = \frac{25}{( 9 a _{0} - 2 ) ^{2}} x + \frac{9 a _{0}^{2} - 54 a _{0} + 6}{( 9 a _{0} - 2 ) ^{2}}

作图

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