Discuss the differentiability of `f(x)=[x]+setminus1-x|dotx in (-1,3),w h e r e[dot]` represents greatest integer function.

Discuss the differentiability of f(x)=[x]+|1-x|, x in (-1,3),w h e r e[dot] represents greatest integer function.

Discuss the differentiability of f(x)=e^(-|x|)

Discuss the differentiability of f(x)=|(log)_e|x||

Discuss the differentiability of f(x)="max"{sec^(-1)x ,cos e c^(-1)x}

Find the range of f(x)=(x-[x])/(1-[x]+x '),w h e r e[] represents the greatest integer function.

Discuss the differentiability of f(x)="max"{tan^(-1)x ,cot^(-1)x}dot

Evaluate: int_0^oo[2e^(-x)]dx ,w h e r e[x] represents greatest integer function.

f:(2,3)vec(0,1)d efin e db yf(x)=x-[x],w h e r e[dot] 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.

Evaluate: int_0^(10pi)[tan^(-1)x]dx ,w h e r e[x] represents greatest integer function.