Finding global extrema by comparing local and boundary values

[angela107]

Homework Statement

Can someone see if my explanation is correct?

Relevant Equations

n/a

 

[Orodruin]

Just a minor remark: You do not need to check the second derivative at the local extremum as you are anyway computing its value. Comparing the values of the local extrema and the boundary values will give you the global min and max.

 

[angela107]

Just a minor remark: You do not need to check the second derivative at the local extremum as you are anyway computing its value. Comparing the values of the local extrema and the boundary values will give you the global min and max.

Thank you; I accidentally didn't finish writing the question properly, but it's been fixed.