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tangent f(x)= 1/(x^4),\at x=3

解答

切线

f (x) = \frac{1}{x ^{4}}, at x = 3

解答

y = - \frac{4}{243} x + \frac{5}{81}

求解步骤

找到切点:

(3, \frac{1}{81})

计算

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

的斜率:

\frac{df ( x )}{d x} = - \frac{4}{x ^{5}}

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{4}{243}

找到斜率 m=

- \frac{4}{243}

且穿过

(3, \frac{1}{81})

的直线:

y = - \frac{4}{243} x + \frac{5}{81}

y = - \frac{4}{243} x + \frac{5}{81}

作图

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