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受欢迎的函数 >

extreme f(x)=x-ln(x),0<= x<= 2

解答

极值点

f (x) = x - ln (x), 0 \leq x \leq 2

解答

极小值 (1, 1), 极大值 (2, 2 - ln (2))

求解步骤

找到临界点:

x = 1, x = 2

x - ln (x), 0 \leq x \leq 2

的定义域

: 0 < x \leq 2

Find intervals:

递减

: 0 < x < 1,

递增

: 1 < x < 2

将极值点

x = 1

代入

x - ln (x) \Rightarrow y = 1

极小值 (1, 1)

将极值点

x = 2

代入

x - ln (x) \Rightarrow y = 2 - ln (2)

极大值 (2, 2 - ln (2))

极小值 (1, 1), 极大值 (2, 2 - ln (2))

作图

流行的例子

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