ABSOLUTE MAXIMUM AND ABSOLUTE MINIMUM

In this video, I showed how to find the absolute maximum and minimum of a function by comparing the values at the end points and critical values. No sign chart is used because there was no need to identify local max or min.

[ajahchinemerem]

Wonderful ❤❤❤❤❤
This is my first time of commenting on u tube video after watching it.
This content is value oriented

[ghastly]

Keep up the great work! Struggled with a few problems written in this exact format in my course and you explained everything so clear and concise!

[cdpalmo]

the only video that really cleared all my doubts. thank you teacher!

[ModestusHaundapiti]

U always make my study easier, , , well explained

[klementhajrullaj]

Lagranzh's Theorem say it: if a<c<b, then, f'(c)=[f(b)-f(a)]/(b-a) 😀😉

[michelebrun]

Instead of looking at f(x) you can study 1/f(x) and since [1/f(x)]' = f'(x)/f^2(x) and f(x) is never 0 in the interval [0, 3]. In such a way the computation is much easier since g(x)=1/f(x) = x-1+1/x.

g'(x) = 1 - 1/x^2 = (1-x^2)/x^2.

Then, x=\pm 1 and only 1 is accettable.

f(1) = 1
f(0) = 0
f(3) = 3/7

and so on

[mahan]

thank you this is really helpful and keep on smiling cuz my god you've got a beautiful smile

[coreymonsta]

For the right most critical point c, you know f(x) must always go up or always down. How much so we don’t know. That’s why the end point is important to check