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tangent f(x)= 1/(sqrt(4x)),\at x=9

解答

切线

f (x) = \frac{1}{4 x}, at x = 9

解答

y = - \frac{1}{108} x + \frac{1}{4}

求解步骤

找到切点:

(9, \frac{1}{6})

计算

f (x) = \frac{1}{4 x}

的斜率:

\frac{df ( x )}{d x} = - \frac{1}{4 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{1}{108}

找到斜率 m=

- \frac{1}{108}

且穿过

(9, \frac{1}{6})

的直线:

y = - \frac{1}{108} x + \frac{1}{4}

y = - \frac{1}{108} x + \frac{1}{4}

作图

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