Continuity & Differentiability

Continuity & Differentiability- This calculus lesson shows how can we prove any function is continuous & how can we show any function Differetiable. Any function will be continuous if the left hand limit , right hand limit and functional value at a point is equal. If any function is not meeting this criteria will not be continuous at the point.
Similarly, a function is said to be diffferentiable at any point if the left had derivative and right hand derivative is equal at that point.
Based on these two rules of continuity and differentiability we are going to solve this question of finding unknown terms.
I hope this video lesson was helpful in gaining concept of limits and continuity.

[shazaycia]

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[ItsMyAcademy]

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[ItsMyAcademy]

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[ItsMyAcademy]

We find the value of K by continuous concept bcoz this is only the given thing to proceed the question, and we can easily get value of k by doing so..this is the way generally we do to find unknown terms if function is we can't find value of m by this concept, if u do sou ll get lhl = rhl = f(x) simply same may be zero(at x=0)..and u ll be unable to get m....that is why question has cleverly given us second condition that the function is differentiable at all points....:D

[ItsMyAcademy]

thank you so much shahid brother...I am very happy to do

[priyanshuairen]

good explanation, thank you very much for help

[desigirl]

omg this helped me for my AP calc ab class thanks so much! hopefully ill get a good grade on the quiz

[sawensh]

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[ItsMyAcademy]

sure I will friend....and I am very very happy to see you again ... !!!! :D

[aarushisingh]

this vedio helps me alot nd removed my lots of confusion

[sawensh]

thank you so much my dear friend . i understand now@

[bhoomikasingh]

It was just superb i was searching for this only thank you very much for this video i got every thing thank you sir.

[DapperDoc]

I can understand you!
What are the 3 criterias of a continuous graph??

[amrita]

Thank you!! This helped me in my BC Calc class so much XD I forgot everything during the summer, but this brought it all back to me :D

[freelancer]

which software you have used to write the class and also to record the whole video. plz, tell me.

[sawensh]

i want ask you why we find value of k by continuous and value of m by derivative??

[ItsMyAcademy]

I m sorry for the inconvenience brother.. thanks for suggestions.... I will keep those all things in mind brother.. .. thanks for informing :)g

[ItsMyAcademy]

wow that's great to hear that it helped you my friend .. All the best for the quiz friend ..:D

[zekeyaeger]

Should'nt we take g(0-h) to find LHD ? (0+h) is for RHD right ?

[shivadhanushtanneru]

superb explanation and plse give a good pronounciation