extreme f(x)=(x^2)/(x^2+27)

解答

极值点

f (x) = \frac{x ^{2}}{x ^{2} + 27}

极小值 (0, 0)

求解步骤

f^{'} (x) = \frac{54 x}{( x ^{2} + 27 ) ^{2}}

Find intervals:

递减

: - \infty < x < 0,

递增

: 0 < x < \infty

将

x = 0

代入

\frac{x ^{2}}{x ^{2} + 27} : 0

极小值 (0, 0)

e x t re m e f (x) = 2 x^{2} + 4 x + 10

e x t re m e f (x) = 1 - x^{3} - 3 x - 2 x^{2} + 3 x^{4}

e x t re m e f (x) = 4 x^{5} - 3 x^{3} - 3 x + 1

e x t re m e f (x, y) = 2 x y - 5 x^{2} - 2 y^{2} + 4 x + 4 y - 4

e x t re m e w (x, y) = 6 + \frac{3 x y}{75}