ABSOLUTE MAXIMUMS and ABSOLUTE MINIMUMS

How to calculate the absolute extremes of a real function of a real variable f defined on a closed interval, using the Weierstrass extreme value theorem: If a function is continuous and defined in a closed interval, then it has absolute maxima and absolute minima.

[inevitableheatdeath]

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[samuelportillo]

Excellent video, whit this we will learn easly.💻

[zombieguy]

Hello man. I really love your videos, and I needed a favor. I need you to prove a bunch of things for me. I need you to prove the commutative property of addition for all real numbers, the multiplication of fractions, the addition of fractions, the commutative property of multiplication for all real numbers, and the distributive property for all real numbers including irrational numbers please. What I love about math is that it is always consistent and that properties are not made from thin air, and if you prove all this properties for me I will feel much better about that fact.

[inevitableheatdeath]

Sir if you make some videos on tensor analysis that would be very helpful... Have a great day sir

[asbarker]

One case that you didn't consider is when y is equal to a constant value (i.e. y = 2) in an interval, say, [ 1, 5 ]. Here, I'm guessing that all the values 1 <= x <=5 are simultaneously absolute maxima and absolute minima.