A modulus function is everywhere continuous.

A polynomial function is everyehere continuous.

The exponential function a^(x);a>0 is everywhere continuous.

Write an example of a function which is everywhere continuous but fails to be differentiable exactly at five points.

Write an example of a function which is everywhere continuous but fails to be differentiable exactly at five points.

Let f(x) be continuous and differentiable function everywhere satisfying f(x+y)=f(x)+2y^(2)+kxy and f(1)=2, f(2)=8 then the value of f(3) equals

The function f(x)=e^(-|x|) is continuous everywhere but not differentiable at x=0 continuous and differentiable everywhere not continuous at x=0 none of these

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

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