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受欢迎的函数 >

extreme 2x^2-6x+(20)/x+30

解答

极值点

2 x^{2} - 6 x + \frac{20}{x} + 30

解答

极小值 (2.38155 \dots, 35.45215 \dots)

求解步骤

找到临界点:

x \approx 2.38155 \dots

2 x^{2} - 6 x + \frac{20}{x} + 30

的定义域

: x < 0 or x > 0

Find intervals:

递减

: - \infty < x < 0,

递减

: 0 < x < 2.38155 \dots,

递增

: 2.38155 \dots < x < \infty

将极值点

x = 2.38155 \dots

代入

2 x^{2} - 6 x + \frac{20}{x} + 30 \Rightarrow y = 35.45215 \dots

极小值 (2.38155 \dots, 35.45215 \dots)

作图

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