How to find increasing and decreasing interval for continuous rational function

Calculus Increasing Decreasing: • Increasing and Decreas...
/ @mathematicstutor Learn From Anil Kumar:
NEXT: How to write rational function for given oblique asymptote: • How to Write Rational ...
Rational functions are quotient of two polynomial functions where the denominator is not equal to zero. If for x = a, the denominator is zero then it will have a vertical asymptote of a have a vertical asymptote x = a or hole at x = a. Hole will exist only if we have a common factor in both numerator and denominator. Graph of these functions can have horizontal asymptote for the following conditions:
1. If degree of denominator is higher the y = 0 is the horizontal asymptote
2. If degree of both numerator and denominator is same then y = a/b is the horizontal asymptote where a and b are respective the leading coefficients of numerator and denominator.
#rationalfunctions #rationalfunction #horizontalasymptotes #graphrationalfunctions #anilkumar #globalmathinstitute #ibslmath

[@realdvgarg]

You explained it so simply, kudos!

[@shalatea5574]

In the end, your explanation stands out from the rest🙅. Having watched recent videos where the critical number was never explained, I would like to thank you for your assistance.

[@tyhn5404]

Yes..👏

[@ervinnachua2640]

Watch lot of youtube vids, but yours help me the most! Thank you so much!

[@pratimadwivedi648]

Don't know whether you'll read this, but you're awesome. Tomorrow's my NDA exam and now I've prepared for it thoroughly. Thanks 😇

[@allaboutyouwant4241]

It helps me when I' m solving this type of sums and solving this problem 😃😃

[@MathematicsTutor]

Thanks for appreciation. Another video to practice: ruclips.net/video/Gy9TcSZ-WQs/видео.html
Here is a twist. You need to find increasing interval from the derivative: ruclips.net/video/jLJaXIk8TNE/видео.html
Hope that helps
Thanks

[@prynka1803]

Thanks a lot sirrr ... I am literally confused by various methods ..... Btw these video helps me a lot 😊😇

[@vj-xb8wk]

Helpful

[@CrizVlogz]

Thank you sir

[@surendrakverma555]

Very good. Thanks 🙏🙏🙏

[@MathematicsTutor]

Increasing Decreasing Examples: ruclips.net/video/h07R0FdG4k8/видео.html
Thanks

[@TheCreatorKaran.K]

Waw....!!
Thanks a lot

[@aasthakannoje8548]

Nice one sir

[@debroopghosh2609]

Thank you very much sir🔥🙏🏻❤️

[@amanjha9652]

Sir using first order derive test find minima and mixima pe video banaye plz.ur video are best then anyone

[@traviselkins9574]

Maybe you should invest some time in some grammar videos lol 😂 (I'm not laughing at you I'm laughing with you)

[@zawnaing344]

thanks prof.

[@MathematicsTutor]

New Video: ruclips.net/video/h07R0FdG4k8/видео.html
Thanks

[@jigneshprajapat4361]

Thank you sir you help me a lot in concept of increasing and decreasing intervals

[@atheera5812]

This video helps a lot! Thank you 😊

[@MathematicsTutor]

Thanks for appreciation

[@devanand11]

Sir increasing and decreasing interval for trigonometry function plz

[@MathematicsTutor]

Cosine: ruclips.net/video/V5Ehd6KUduA/видео.html
Sine: ruclips.net/video/aTFV41iYNsc/видео.html
ruclips.net/video/n55Fqi8hrV4/видео.html
Search Anil Kumar increasing decreasing interval for more
Thanks

[@ahmedsakr1858]

Thanks sir

[@pramitasingh4657]

Nice

[@amanjha9652]

Luv u sir apne Sara doubt clear kar diya

[@nurulizzati6704]

Thank you sir☺️👍🏻

[@ee_910_poojayadav6]

u are great teacher ...thanks to upload this video :)

[@MathematicsTutor]

Thanks for your time and appreciation. Feel free to post questions

[@vikramjeetbhankhur9551]

Pooja Yadav hello

[@shantkumarbhusare1002]

Thanks sir to explain it very easily

[@MathematicsTutor]

Check some more on related topic: ruclips.net/video/VNnigkqxnRs/видео.html
Thanks

[@MathematicsTutor]

Here is another one: ruclips.net/video/rQpSxQCxxnM/видео.html&lc=z22twjwqjozpxfw5z04t1aokgajyr34qdktk3cseursfbk0h00410
Thanks

[@sanskardwivedi1774]

NYC video

[@ashishramola6861]

Lovely sir

[@MathematicsTutor]

Thanks

[@Mathologix]

for the same ques what should be the interval for strictly increasing and strictly decreasing ?

[@avisekhsarkar3593]

Sir it helped a lot thku sir

[@karankansal8079]

Thank u 4 the vdo sirr

[@MathematicsTutor]

My pleasure. Thanks for appreciation

[@shanthivisalakshi2607]

Sir, can I get more examples on increasing and decreasing functions

[@PKP2021]

good

[@MathematicsTutor]

Thanks. The setting of your picture matches well with a portion of Humber Trail.
Here is it: ruclips.net/video/TeLjoiDIauU/видео.html

[@ismailkhan-mp2fg]

nice

[@rajnamdev5285]

thanks sir please hindi medium banay

[@iimousa97]

how we simplify 1+x^2-2x^2 ???

[@MathematicsTutor]

1+x^2-2x^2 = 1 - x^2

[@iimousa97]

Anil Kumar I saw this answer in the video, how you made it like this, please show me each step

[@MathematicsTutor]

Ok, Consider the two like terms x^2 and -2x^2. You can factor x^2(1 - 2) = x^2(-1) = -x^2.
You need to simplify the polynomials by combining the like terms. Hope that helps.

[@antonjustovich6577]

nice inglish sirrrrrrrrrr

[@MathematicsTutor]

Thanks. Here is a related Playlist: ruclips.net/p/PLJ-ma5dJyAqoegNExKo7XnEQNSnqMGuab

[@theview4949]

2 no. Pakke

[@MathematicsTutor]

All the Best!

[@aoikcreations8322]

Are itna hi English ata he to England chale jayiye

[@harshitpandey1994]

Sir aap khud confuse ho

[@botgamer5335]

Itna khrab khon padhata ha

[@nehanohaha]

Very helpful video thank you