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受欢迎的函数 >

extreme y=(x-1)/(x^2+35x)

解答

极值点

y = \frac{x - 1}{x ^{2} + 35 x}

解答

极小值 (- 5, \frac{1}{25}), 极大值 (7, \frac{1}{49})

求解步骤

f^{'} (x) = \frac{- x ^{2} + 2 x + 35}{( x ^{2} + 35 x ) ^{2}}

Find intervals:

递减

: - \infty < x < - 35,

递减

: - 35 < x < - 5,

递增

: - 5 < x < 0,

递增

: 0 < x < 7,

递减

: 7 < x < \infty

将

x = - 5

代入

\frac{x - 1}{x ^{2} + 35 x} : \frac{1}{25}

极小值 (- 5, \frac{1}{25})

将

x = 7

代入

\frac{x - 1}{x ^{2} + 35 x} : \frac{1}{49}

极大值 (7, \frac{1}{49})

极小值 (- 5, \frac{1}{25}), 极大值 (7, \frac{1}{49})

作图

流行的例子

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