Let `S={t in R: f(x)=|x-pi|(e^(|x|)-1)sin|x|` is not differentiable at t} Then the set S is equal to: (1) `phi` (2) {0} (3) `{pi}` (4) `{0,pi}`

Set of value of x for which f(x)=sin|x|-|x|+2(x-pi)cos|x| is not differentiable is (A) phi (B) {0} (C) {0, pi} (D) {pi}

Let f(x)=e^(cos^(-1)sin(x+ pi/3)) , then

If f(x) =int_(0)^(x) sin^(4)t dt , then f(x+2pi) is equal to

Let f and g be two differentiable functins such that: f (x)=g '(1) sin x+ (g'' (2) -1) x g (x) = x^(2) -f'((pi)/(2)) x+ f'(-(pi)/(2)) If phi (x) =f ^(-1) (x) then phi'((pi)/(2) +1) equals to :

Let f(x)=sin x,g(x)={{max f(t),0 pi Then number of point in (0,oo) where f(x) is not differentiable is

Let [x]= greatest integer le x and f(x) = cos([pi^(2)]x) + sin([e^(2)]x) then f(pi//4) is equal to

If f(x)= int_(0^(sinx) cos^(-1)t dt +int_(0)^(cosx) sin^(-1)t dt, 0 lt x lt (pi)/(2) then f(pi//4) is equal to

Let f(x)=sin x and cg(x)={max{f(t),0 pi Then ,g(x) is

Let f(x)=m ax{2 sin x,1-cosx},x epsilon (0,pi) . Then set of points of non differentiability is