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受欢迎的微积分 >

tangent 4/(sqrt(x-7))

解答

切线

\frac{4}{x - 7}

解答

y = - \frac{2}{( a _{0} - 7 ) ^{\frac{3}{2}}} x + \frac{6 a _{0} - 28}{( a _{0} - 7 ) ^{\frac{3}{2}}}

求解步骤

计算在一般点

x = a_{0}

的切线

找到切点:

(a_{0}, \frac{4}{a _{0} - 7})

计算

y = \frac{4}{x - 7}

的斜率:

\frac{d y}{d x} = - \frac{2}{( x - 7 ) ^{\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{2}{( a _{0} - 7 ) ^{\frac{3}{2}}}

找到斜率 m=

- \frac{2}{( a _{0} - 7 ) ^{\frac{3}{2}}}

且穿过

(a_{0}, \frac{4}{a _{0} - 7})

的直线:

y = - \frac{2}{( a _{0} - 7 ) ^{\frac{3}{2}}} x + \frac{6 a _{0} - 28}{( a _{0} - 7 ) ^{\frac{3}{2}}}

y = - \frac{2}{( a _{0} - 7 ) ^{\frac{3}{2}}} x + \frac{6 a _{0} - 28}{( a _{0} - 7 ) ^{\frac{3}{2}}}

作图

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