What is the extreme f(x)=ln(x),0<x<= 4 ?

The extreme f(x)=ln(x),0<x<= 4 is Maximum(4,2ln(2))

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extreme f(x)=ln(x),0<x<= 4

extreme

Maximum (4, 2 ln (2))

Solution steps

Find the critical points:

x = 4

Domain of

ln (x), 0 < x \leq 4 : 0 < x \leq 4

Find intervals:

Increasing

: 0 < x < 4

Plug the extreme point

x = 4

into

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

Maximum (4, 2 ln (2))

What is the extreme f(x)=ln(x),0<x<= 4 ?
The extreme f(x)=ln(x),0<x<= 4 is Maximum(4,2ln(2))