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受欢迎的函数 >

extreme f(x)=-2x^2-1,-4<= x<= 3

解答

极值点

f (x) = - 2 x^{2} - 1, - 4 \leq x \leq 3

解答

极小值 (- 4, - 33), 极大值 (0, - 1), 极小值 (3, - 19)

求解步骤

找到临界点:

x = - 4, x = 0, x = 3

- 2 x^{2} - 1, - 4 \leq x \leq 3

的定义域

: - 4 \leq x \leq 3

Find intervals:

递增

: - 4 < x < 0,

递减

: 0 < x < 3

将极值点

x = - 4

代入

- 2 x^{2} - 1 \Rightarrow y = - 33

极小值 (- 4, - 33)

将极值点

x = 0

代入

- 2 x^{2} - 1 \Rightarrow y = - 1

极大值 (0, - 1)

将极值点

x = 3

代入

- 2 x^{2} - 1 \Rightarrow y = - 19

极小值 (3, - 19)

极小值 (- 4, - 33), 极大值 (0, - 1), 极小值 (3, - 19)

作图

流行的例子

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