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受欢迎的函数 >

extreme f(x)=2x^3-33x^2+180x+6

解答

极值点

f (x) = 2 x^{3} - 33 x^{2} + 180 x + 6

解答

极大值 (5, 331), 极小值 (6, 330)

求解步骤

f^{'} (x) = 6 x^{2} - 66 x + 180

Find intervals:

递增

: - \infty < x < 5,

递减

: 5 < x < 6,

递增

: 6 < x < \infty

将

x = 5

代入

2 x^{3} - 33 x^{2} + 180 x + 6 : 331

极大值 (5, 331)

将

x = 6

代入

2 x^{3} - 33 x^{2} + 180 x + 6 : 330

极小值 (6, 330)

极大值 (5, 331), 极小值 (6, 330)

作图

流行的例子

extreme f(x)=(x^4-32x^2-4)

e x t re m e f (x) = (x^{4} - 32 x^{2} - 4)

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