CONTINUITY AND DIFFERENTIABILITY - L10

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Continuity And Differentiability |Excercise Questions

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

If f(x)=sqrt(1-sqrt(1-x^(2))), then f(x) is (a) continuous on [-1,1] and differentiable on (-1, 1) (b) continuous on [-1,1] and differentiable on (-1,0)uu varphi(0,1)(c) continuous and differentiable on [-1,1](d) none of these

If f(x)=sqrt(1-(sqrt(1)-x^(2))), then f(x) is (a)continuous on [-1,1] and differentiable on (-1,1)(b) continuous on [-1,1] and differentiable on (-1,0)uu(0,1)(C) continuous and differentiable on [-1,1](d) none of these

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

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Continuity of Compound Functions and Differentiability Basics