CONTINUITY AND DIFFERENTIABILITY - L1

Continuity & Differentiability - Continuity|Condition For Continuity|Doubtful Points|Questions|OMR

The function f(x)=|x|+|x-1| is Continuous at x=1, but not differentiable at x=1 Both continuous and differentiable at x=1 Not continuous at x=1 Not differentiable at x=1

Continuity & Differentiability -Condition For Continuity|Questions|Types Of Discontinuity|Questions|Differentiability|OMR

Let f(x)={1, xlt=-1|x|, -1

Continuity And Differentiability |Excercise Questions

The function f : R rarr R given by f(x) = - |x-1| is (a) continuous as well as differentiable at x = 1 (b) not continuous but differentiable at x = 1 (c) continous but not differentiable at x = 1 (d) neither continous nor differentiable at x = 1

Which of the following is not true? (A) A polynomial function is always continuous (B) A continuous function is always differentiable (C) A differentiable function is always continuous (D) None of these

Assertion (A) : A continuous function is always differentiable. Reason (R ) : A differentiable function is always continuous.

Questions Based On Continuity And Differentiability|OMR

Continuity of Compound Functions and Differentiability Basics