CONTINUITY AND DIFFERENTIABILITY

Continuity & Differentiability

Continuity & Differentiability

Algebra Of Continuous Function |Theorem|Differentiability

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

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

The function f(x)- Icos xl is (a) everywhere continuous and differentiable b) everywhere continuous but not differentiable at (2n t 1) n/2,ne Z (c) neither continuous nor differentiable at (2n + 1)n/2,ne Z (d) none of these

If f(x)={s in(cos^(-1)x)+cos(sin^(-1)x),xlt=0s in(cos^(-1)x)-cos(sin^(-1)x ,x >0) . Then at x=0 f(x) is continuous and differentiable f(x) is continuous but not differentiable f(x) not continuous but differentiable f(x) is neither continuous nor differentiable

The function f(x)=e^(|x|) is (a) Continuous everywhere but not differentiable at x=0 (b) Continuous and differentiable everywhere (c) Not continuous at x=0 (d) None of the above

Is every continuous function differentiable?