Real Analysis 41 | Mean Value Theorem
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- Опубліковано 10 лют 2025
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This is my video series about Real Analysis. We talk about sequences, series, continuous functions, differentiable functions, and integral. I hope that it will help everyone who wants to learn about it.
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#Mathematics
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(This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)
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3:00 Amazing. I struggled a little to find out why we define a new function as the difference of those in the graph. Thank you.
Thank you :) And thank for the support!
Great & brilliant work thanks !!
Really helpful, thank you.
Glad to hear it!
As always, very nice
At the very end of the video shouldn't the arrows go both way ? that is f>0 f is strictly monotically increasing? Thank you
With the correct assumptions, you can prove it :)
@@brightsideofmaths thanks!
For the proof of Taylor equation
the application example you gave is redundant. If we already define f'(x) > 0 for all x, and x1 < x2, we already know that f(x2) - f(x1) > 0.
And why do we know that?