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受欢迎的函数 >

extreme f(x)=(5x)/(x^2+9)

解答

极值点

f (x) = \frac{5 x}{x ^{2} + 9}

解答

极小值 (- 3, - \frac{5}{6}), 极大值 (3, \frac{5}{6})

求解步骤

f^{'} (x) = \frac{5 ( - x ^{2} + 9 )}{( x ^{2} + 9 ) ^{2}}

Find intervals:

递减

: - \infty < x < - 3,

递增

: - 3 < x < 3,

递减

: 3 < x < \infty

将

x = - 3

代入

\frac{5 x}{x ^{2} + 9} : - \frac{5}{6}

极小值 (- 3, - \frac{5}{6})

将

x = 3

代入

\frac{5 x}{x ^{2} + 9} : \frac{5}{6}

极大值 (3, \frac{5}{6})

极小值 (- 3, - \frac{5}{6}), 极大值 (3, \frac{5}{6})

作图

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