What is the extreme f(x)= 1/x ,2<= x<= 3 ?

The extreme f(x)= 1/x ,2<= x<= 3 is Maximum(2, 1/2),Minimum(3, 1/3)

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extreme f(x)= 1/x ,2<= x<= 3

extreme

Maximum (2, \frac{1}{2}), Minimum (3, \frac{1}{3})

Solution steps

Find the critical points:

x = 2, x = 3

Domain of

\frac{1}{x}, 2 \leq x \leq 3 : 2 \leq x \leq 3

Find intervals:

Decreasing

: 2 < x < 3

Plug the extreme point

x = 2

into

\frac{1}{x} \Rightarrow y = \frac{1}{2}

Maximum (2, \frac{1}{2})

Plug the extreme point

x = 3

into

\frac{1}{x} \Rightarrow y = \frac{1}{3}

Minimum (3, \frac{1}{3})

Maximum (2, \frac{1}{2}), Minimum (3, \frac{1}{3})

What is the extreme f(x)= 1/x ,2<= x<= 3 ?
The extreme f(x)= 1/x ,2<= x<= 3 is Maximum(2, 1/2),Minimum(3, 1/3)