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受欢迎的函数 >

extreme f(x)= x/(x^2-x+2)

解答

极值点

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

解答

极小值 (- 2, - \frac{2 2 - 1}{7}), 极大值 (2, \frac{2 2 + 1}{7})

求解步骤

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

Find intervals:

递减

: - \infty < x < - 2,

递增

: - 2 < x < 2,

递减

: 2 < x < \infty

将

x = - 2

代入

\frac{x}{x ^{2} - x + 2} : - \frac{2 2 - 1}{7}

极小值 (- 2, - \frac{2 2 - 1}{7})

将

x = 2

代入

\frac{x}{x ^{2} - x + 2} : \frac{2 2 + 1}{7}

极大值 (2, \frac{2 2 + 1}{7})

极小值 (- 2, - \frac{2 2 - 1}{7}), 极大值 (2, \frac{2 2 + 1}{7})

作图

流行的例子

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