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Title
If more than one critical point
check if each cp is local max/min by 1st or 2nd derivative test
If one critical point
check by 1st or 2nd derivative test that the critical point is a local max or min
Find Critical points
Description
Domain is open interval
[STATE DOMAIN]
Optimization
Note
your local min/max will be global if the end behavior doesn't "blow up in a bad way"
Note
Description
Then state (if optimizing f(x))
Because f(x) is continuous on the domain and x=k is a local min/max by the 1st/2nd derivative test, x=k is a global min
Domain is closed interval
[STATE DOMAIN]
Find critical points
evaluate quantity trying to optimize @ critical points and endpoints
pick largest, if want max
pick smallest if want min
DON'T TEST 1ST/2ND DERIV
Don't do any 1st or 2nd derivative testing. Just plug in endpoints and critical points
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