A modulus function is everywhere continuous.

A constant and identity function 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.

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 a function is everywhere continuous and differentiable such that f'(x)ge6 for all x in [2,4]andf(2)=-4, then

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

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

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

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