Continuity of Compound Functions and Differentiability Basics

Continuity & Differentiability

Continuity & Differentiability

Algebra Of Continuous Function |Theorem|Differentiability

Relation Between Continuity and Differentiability | Differentiability of Compound Function | Problems based on Limits

Is every continuous function differentiable?

Define continuity and differentiability of a function at a point verify the continuity and differentiability of the function: , f(x)={[(1-x),x 2])

Attempt the following Write the converse and contrapositive of the following statements. "If a function is differentiable then it is continuous".

find the continuity and differentiability of the function

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.