where is the function not differentiable from a graph? calculus 1 tutorial

Learn how to determine where the function is NOT differentiable from a given graph. This is a must-know topic for your Calculus 1 and AP calculus class.
0:00 first example
3:00 second example
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[@stephenbeck7222]

I think “cusp” is specifically reserved in most definitions for places where the tangent line is approaching a slope of +/- infinity on both sides. So |x| has a corner at x = 0, while x^(2/3) has a cusp at x = 0.

[@bprpcalculusbasics]

Ahhhh I see! I think most ppl (including me, apparently haha) have been using these terms interchangeably

[@stephenbeck7222]

@@bprpcalculusbasics I don’t think most people care about the differences. Very negligible.

[@SuperYoonHo]

Thanks so much JST CALC!

[@SuperYoonHo]

@@English_shahriar1 Thank you sir

[@tomasbeltran04050]

I thought that f'(-4) would be equal to 0

[@husklyman]

2:11
I think it's actually 2.4999999...

[@seblara839]

I love discounted funtions!

[@bradley9856]

For the first answer, isn't that a Stationary point?

[@michaelempeigne3519]

the real reason is that the one-sided limits are not the same in both cases at x = - 4 and x = 0 in the video.

[@dharunrahul1700]

0:55. Ahh most important survival trick , noted !

[@fullfungo]

@@English_shahriar1 ^report

[@rslitman]

Wouldn't the word "singularity" describe all or most of the ones in these examples? I'm not sure about the vertical tangent one, which I confess I didn't get in your first example. (I am more than 45 years past Differential Calculus and probably would have gotten it correct back then.)

[@dinosaric4862]

I would love to know what function is that

[@fullfungo]

@@English_shahriar1 ^bot

[@SuperYoonHo]

CUSP is easy lol even thou i'm a korean lol

[@SuperYoonHo]

Ok so ur telling us that between -4 and -3 =-3.5?
does not seem so?!!

[@fullfungo]

What do you mean?

[@SuperYoonHo]

@@fullfungo it's ok just watch the vid

[@fullfungo]

@@SuperYoonHo I already did. And I still don’t understand your question

[@fullfungo]

@@SuperYoonHo ok, I’m guessing you meant that the graph does not intersect the x-axis at 3.5
How is this relevant to the video, though?

[@SuperYoonHo]

2@@fullfungo 00:00
find x intercept between -4 and -3
what is it? didn't bprp said anything in between is the average?
hmm does not look like -3.5
but more like -3.2

[@goblin5003]

Ah yes, Euler’s number: 2.5