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受欢迎的函数 >

extreme f(x)=(10-2x)(10-2x)(x)

解答

极值点

f (x) = (10 - 2 x) (10 - 2 x) (x)

解答

极大值 (\frac{5}{3}, \frac{2000}{27}), 极小值 (5, 0)

求解步骤

f^{'} (x) = 4 (x - 5) (3 x - 5)

Find intervals:

递增

: - \infty < x < \frac{5}{3},

递减

: \frac{5}{3} < x < 5,

递增

: 5 < x < \infty

将

x = \frac{5}{3}

代入

(10 - 2 x) (10 - 2 x) x : \frac{2000}{27}

极大值 (\frac{5}{3}, \frac{2000}{27})

将

x = 5

代入

(10 - 2 x) (10 - 2 x) x : 0

极小值 (5, 0)

极大值 (\frac{5}{3}, \frac{2000}{27}), 极小值 (5, 0)

作图

流行的例子

extreme f(x)=(x-1)^2(x+3)^2

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

extreme U(a,b)=aa+bb

e x t re m e U (a, b) = aa + bb

extreme f(x)= 1/3 x^3-7x^2+24x+6

e x t re m e f (x) = \frac{1}{3} x^{3} - 7 x^{2} + 24 x + 6

extreme f(x)=((4860)/x)+17x+752774

e x t re m e f (x) = (\frac{4860}{x}) + 17 x + 752774

extreme f(x)=xe^{-x^2-y^2}

e x t re m e f (x) = x e^{- x^{2} - y^{2}}