The number of points at which `f(x)=[x]+|1-x|, -1lt x lt3` is not differentiable is (where [.] denotes G.I.F)

The number of points at which g(x)=1/(1+2/(f(x))) is not differentiable, where f(x)=1/(1+1/x) , is a. 1 b. 2 c. 3 d. 4

Let f(x) = ||x|-1|, then points where, f(x) is not differentiable is/are

The number of point f(x) ={{:([ cos pix],0le x lt1),( |2x-3|[x-2],1lt xle2):} is discontinuous at Is ([.] denotes the greatest intgreal function )

If f(x)={1+x, for 0lt=xlt=2 3-x, for 2lt x lt=3 then the number of values of x at which the function fof is not differentiable is 2 (b) 1 (c) 3 (d) 0

Let x _(1) , x _(2), x _(3) be the points where f (x) = | 1-|x-4||, x in R is not differentiable then f (x_(1))+ f(x _(2)) + f (x _(3))=

f: (0,oo) to (-pi/2,pi/2)" be defined as, "f(x)=tan^(-1) (log_(e)x) . If x_(1),x_(2) and x_(3) are the points at which g(x) =[f (x)] is discontinuous (where, [.] denotes the greatest integer function), then (x_(1)+x_(2)+x_(3))" is :"

The function f(x)=x^2e^(-2x),x > 0. If l is maximum value of f(x) find [l^(-1)] (where [ ] denotes G.I.F.).

The points where the function f(x) = [x] + |1 - x|, -1 < x < 3 where [.] denotes the greatest integer function is not differentiable, are

If cos^(-1)(4x^3-3x)=a+bcos^(-1)x" for "-1 lt x lt -1/2, then [a + b+ 4] is equal to {where [] denotes G.I.F}

In f (x)= [{:(cos x ^(2),, x lt 0), ( sin x ^(3) -|x ^(3)-1|,, x ge 0):} then find the number of points where g (x) =f (|x|) is non-differentiable.