Which one of the following functions is differentiable for all real values of x?

Which one of the following real valued functions is never zero?

Examine the differentiability to log|x| for all real values of x .

Let g(x) be the inverse of an invertible function f(x), which is differentiable for all real x. Then g''(f(x)) equals

Let g(x) be the inverse of an invertible function f(x), which is differentiable for all real x. Then g''(f(x)) equals

Let g(x) be the inverse of an invertible function f(x), which is differentiable for all real xdot Then g''(f(x)) equals.

The interval in which the function f(x)=sin x-cos x -ax +b decreases for all real values of x is given by

Examine the differentiability of ln x^(2) for all real values of x .

Let f be a function which is continuous and differentiable for all real x. If f(2) = -4 and f'(x) ge 6 for all x in [2,4] , then