Differentiability at a point: algebraic (function isn't differentiable) | Khan Academy

[@rownitasheikh8343]

He solved the problem quite easily and it helped me grasping the concept.

[@manvitkrishna1229]

I have small thing to say people who hate the formula f(x)-f(a)/x-a then simple differentiate the f(x) or find countinuty and dy/dx it it much simple

[@mky3405]

hey, please, teach us partial differential equation and Differential Geometry!

[@komlalolonyondoda6287]

Would like to see this man, at least in a picture. he makes me understand and enjoy maths.

[@bakhodirjonkakhkharov344]

He is Sal Khan. There are lots of interviews of him

[@mayanktiwary7165]

Here the function given is continuous so we can directly differentiate and put the value 1 and check if the value comes out, are equal then differentiable otherwise non. Differentiable

[@aniketkedare8]

Will you please teach concept of precise limit

[@pranavmuthukumaran9717]

Thanks so much

[@rpjtv8041]

why x-1 at the denominator?

[@mahirgupta8605]

Because we divide by x minus the limit it approaches

[@irfanhaque5937]

Concept cleared

[@ravidhandhukiya7541]

Thanks

[@sanatanvoices9869]

can't we check direct differentiability, if function is differentiable then it is also continous,isn't it?

[@babbalgts]

If a function is continuous at a specific point , it doesn't imply that the function is differentiable at that specific point, for example f(x)=|x| is continuous at x=0 but is not differentiable at x=0.
& if a function is differentiable at a point, it must be continuous at that point.

[@babbalgts]

so ya!...i think we can do that!

[@sanatanvoices9869]

+Shivanshu Mahim yes of course

[@baekhyuneee5965]

Thanks a lot !

[@birdsunion3294]

beginning:2:37

[@jianvenzon7044]

please reply. if we're talking about differentiability, is it always x-1 that we should use as denominator?

[@Ringo-hr6xc]

No,1 its just the number that you wanna calculate.If for exemple yo want the derivate of x=3 then your formula is x-3.

[@Ringo-hr6xc]

The formula for calculate the derivate in a point is: (f(x)-f(your point))/(x-your point)

[@k.k8247]

@@Ringo-hr6xc THANK YOU!

[@fernandoramirez3997]

So for diffentiability... because the two numbers weren't equal in the end, they are not differentiable?

[@fernandoramirez3997]

Pls help lol

[@LuminousOriens]

@@fernandoramirez3997 yeah, the limits need to be the same

[@noodlegod1168]

good job doing it the long way

[@tecnotips4749]

can u kindly tell the short way?

[@NewWesternFront]

@@tecnotips4749 cricket cricket

[@gameplayplus1052]

this channel is dying

[@soumyajitsarkar2372]

Gameplayplus based on what ?

[@l4mpsh4d39]

Or just the majority of people are too dumb for calc, :P (it’s a joke)

[@curlyhairedkayla8239]

So what are you still doing here then?