[IIT 1994]Evaluate continuity & differentiability of f(x)and f '(x) where f(x)is defined as follows.

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[IIT 1983] Discuss the continuity of f, f ' and f '' on [0,2] where f(x) is defined as follows.

[IIT 1988] Evaluate continuity and differentiability of the given function f(x) at x = 1 and x = 3.

[IIT 2006] Investigate the continuity and differentiability of f(x) = min{1, square(x), cube(x)}.

Continuity and Differentiability EXPLAINED with Examples

Continuity and Differentiability

[IIT 1983] Find f ' (0+) and f ' (0-) where f(x) is defined as follows.

[IIT 1987] Find all points where f(x) = x / ( 1 + |x| ) is differentiable.

Differentiability of Piecewise Functions - Calculus