Local and Absolute Maximum Minimum Differences

Absolute Maximum and Absolute minimum value for any function continuous in closed interval [a, b] will always exist at the critical numbers or at the end points.
Check the value of the function at the critical numbers and at the end-points to find the result.
Steps to find increasing and decreasing interval of any function, f(x), are:
find the first derivative, f'(x)
find critical numbers, f'(x) = 0 or does not exist (DNE)
INTERVAL TABLE TEST:
These critical numbers divide the domain in intervals. Test each interval with a test point.
RESULT:
If f'(x) is greater than 0 then f(x) is increasing.
If f'(x) is less than 0 then f(x) is decreasing.
#calculus #derivativeapplication #increasinginterval #decreasinginterval #mcv4u #anilkumar #globalmathinstitute #absolutemaximum #absoluteminimum

[Aditya-nfsy]

I was half my age when this video was uploaded😢

[tjlewis]

Thanks for your contribution to math education!

[talhakhan]

4:43
sir you say "local maxima and manima could also be a absolute maxima and manima " which is wrong .
correctness ..
absolute max and min can also be a local max and min.

[mathacademyforall]

I think the sin function has many absolute max and min not only one, do you agree, Thanks

[AdityaYadav-zbkp]

Sir we need to take interval points a and b while finding only local extreme values?

[legend-ujdp]

John 3:16 (ESV): 16 “For God so loved the world, that he gave his only Son, that whoever believes in him should not perish but have eternal life.

[karpagamk]

Sir application of derivatives maxima, minima and inverse trignometry, continuity as of now

[trevorstarr]

Does an absolute maximum have to be a local maximum?

[alungiledonald]

You're so good sir. You're explain like a smart uncle...

[karpagamk]

Sir can you upload xii cbse videos. Your explanation is great