Differentiability at a point: algebraic (function is differentiable) | AP Calculus AB | Khan Academy

Sal analyzes a piecewise function to see if it's differentiable or continuous at the edge point. In this case, the function is both continuous and differentiable.

AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.

For free. For everyone. Forever. #YouCanLearnAnything

[b.amaurygonzalezestrada]

sería perfecto que los subieran en español también😉, ya que algunos aún no comprendemos de todo el inglés

[hamizahkamaruzaman]

Thank you so much ^_^ u've been very great helppp n_n I've already subscribe !!!

[mkayzondy]

im little bit confused....how did you get X--3, as the denominator?

[aadilmiller]

x^2 looks like porabola, and 6x-9 is a line, so isn't there a Sharp turn at x=3, and if it is the case then how are we going to differentiable at x=3...??? please give an appropriate explanation Mr.sal it's eating me alive.

[mulimotola]

I don't understand why he checked for limits in both cases.. should have used a graph to show us how it looks like