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受欢迎的函数 >

extreme (2x+4)/(x^2+4)

解答

极值点

\frac{2 x + 4}{x ^{2} + 4}

解答

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

求解步骤

f^{'} (x) = \frac{- 2 x ^{2} - 8 x + 8}{( x ^{2} + 4 ) ^{2}}

Find intervals:

递减

: - \infty < x < - 2 (1 + 2),

递增

: - 2 (1 + 2) < x < 2 (2 - 1),

递减

: 2 (2 - 1) < x < \infty

将

x = - 2 (1 + 2)

代入

\frac{2 x + 4}{x ^{2} + 4} : - \frac{2 - 1}{2}

极小值 (- 2 (1 + 2), - \frac{2 - 1}{2})

将

x = 2 (2 - 1)

代入

\frac{2 x + 4}{x ^{2} + 4} : \frac{2 + 1}{2}

极大值 (2 (2 - 1), \frac{2 + 1}{2})

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

作图

流行的例子

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