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受欢迎的函数 >

extreme f(x)=(x^2+2)/(x^2-16)

解答

极值点

f (x) = \frac{x ^{2} + 2}{x ^{2} - 16}

解答

极大值 (0, - \frac{1}{8})

求解步骤

f^{'} (x) = - \frac{36 x}{( x ^{2} - 16 ) ^{2}}

Find intervals:

递增

: - \infty < x < - 4,

递增

: - 4 < x < 0,

递减

: 0 < x < 4,

递减

: 4 < x < \infty

将

x = 0

代入

\frac{x ^{2} + 2}{x ^{2} - 16} : - \frac{1}{8}

极大值 (0, - \frac{1}{8})

作图

流行的例子

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