Differentiability and Continuity Complete Concept: https://www.youtube.com/watch?v=D0VPWt_DgFo https://www.youtube.com/channel/UC4Yoey1UylRCAxzPGofPiWw Anil Kumar Math Classes: https://www.globalmathinstitute.com/class-enrollment/ #AnilKumar #globalmathinstitute #continuity #Differentiability #Limits #Calculus #Piecewise #Functions #Derivatives #Continuous #TestDifferentiability Continuity The function f is continuous at x=c iff f(c) exists lim┬(x→c)⁡〖f(x)〗 exists lim┬(x→c)⁡〖f(x)〗=f(c) Differentiability The function f is differentiable at x=c if f'(c) has a numeric value If f is differentiable at every value of x in an interval, then f is differentiable on that interval. NOTE: The limits of f'(c) should exist for differentiability