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受欢迎的函数 >

extreme y=-(4x)/(x^2+1)

解答

极值点

y = - \frac{4 x}{x ^{2} + 1}

解答

极大值 (- 1, 2), 极小值 (1, - 2)

求解步骤

f^{'} (x) = - \frac{4 ( - x ^{2} + 1 )}{( x ^{2} + 1 ) ^{2}}

Find intervals:

递增

: - \infty < x < - 1,

递减

: - 1 < x < 1,

递增

: 1 < x < \infty

将

x = - 1

代入

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

极大值 (- 1, 2)

将

x = 1

代入

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

极小值 (1, - 2)

极大值 (- 1, 2), 极小值 (1, - 2)

作图

流行的例子

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