Continuity And Differentiability

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

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

Continuity & Differentiability

Continuity & Differentiability

Show that the function f(x) =x^2 is continuous and differentiable at x=2.

If f(x)=|3-x|+(3+x), where (x) denotes the least integer greater than or equal to x, then f(x) is continuous and differentiable at x=3 continuous but not differentiable at x=3 differentiable but not continuous at x=3 neither differentiable nor continuous at x=3

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)=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

If f(x)=|3-x|+(3+x), where (x) denotes the least integer greater than or equal to x, then f(x) is continuous and differentiable at x=3 (b) continuous but not differentiable at x=3 (b) differentiable but not continuous at x=3 (d) neither differentiable nor continuous at x=3

The function f(x)=|cos sx| is everywhere continuous and differentiable everywhere continuous but not differentiable at (2n+1)(pi)/(2),n in Z .neither continuous not differentiable at (2x+1)(pi)/(2),n in Z