What is the extreme f(x)= 1/x ,[1,infinity ] ?

The extreme f(x)= 1/x ,[1,infinity ] is Maximum(1,1)

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extreme f(x)= 1/x ,[1,infinity ]

extreme

Maximum (1, 1)

Solution steps

Find the critical points:

x = 1

Domain of

\frac{1}{x}, [1, \infty] : x \geq 1

Find intervals:

Decreasing

: 1 < x < \infty

Plug the extreme point

x = 1

into

\frac{1}{x} \Rightarrow y = 1

Maximum (1, 1)

What is the extreme f(x)= 1/x ,[1,infinity ] ?
The extreme f(x)= 1/x ,[1,infinity ] is Maximum(1,1)