Discuss the differentiabilty of `f(x) = cos ( cos x)`

Discuss the differentiability of f(x=cos^(-1)((1-x^2)/(1+x^2))

Discuss the continuity and differentiability of f(x)={((x-c)cos(1/(x-c)) ,, x!=c),(0 ,, x=c):}

Discuss the continuity and differentiability of f(x)={(x-c)cos(1/(x-c)),\ \ \ x!=c0,\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=c

Draw the graph and discuss the continuity of f (x) = [sin x + cos x], x in [0, 2pi), where [.] represents the greatest integer function.

Draw the graph and discuss the continuity of f (x) = [sin x + cos x], x in [0, 2pi), where [.] represents the greatest integer function.

The function, f(x) = cos^(-1) (cos x) is

Period of f(x) = sin^4 x + cos^4 x

Discuss the continuity of f(x)={|x|cos(1/x),\ \ \ x!=0 0,\ \ \ \ x=0 at x=0

Discuss the continuity of f(x) ={:{(cos""(1)/(x)", "x ne 0),(" "1", " x= 0):},

Discuss the continuity of the function f(x) ={:{((1+cos x)/(tan^2 x) ", "x ne pi),((1)/(2) ", " x=pi):}, at x=pi .