A constant and identity function is everywhere continuous.

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.

If the function and the derivative of the function f(x) is everywhere continuous and is given by f(x)={:{(bx^(2)+ax+4", for " x ge -1),(ax^(2)+b", for " x lt -1):} , then

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