Let f(x) = ||x| -1| , g(x) = |x| + |x-2| , h (x) = `max { 1,x,x^(3)}` If a, b,c are the no .of points where f(x), g(x) and h(x) , are not differentiable then the value of a+ b + c is …..

Let f(x) = max. {|x^2 - 2| x ||,| x |} then number of points where f(x) is non derivable, is :

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

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))=

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:R-> R and g:R-> R be respectively given by f(x) = |x| +1 and g(x) = x^2 + 1 . Define h:R-> R by h(x)={max{f(x), g(x)}, if xleq 0 and min{f(x), g(x)}, if x > 0 .The number of points at which h(x) is not differentiable is

Let f(x)=|x| and g(x)=|x^3| , then (a). f(x) and g(x) both are continuous at x=0 (b) f(x) and g(x) both are differentiable at x=0 (c) f(x) is differentiable but g(x) is not differentiable at x=0 (d) f(x) and g(x) both are not differentiable at x=0

Let f(x) = x^(2) + 2x +5 and g(x) = x^(3) - 1 be two real functions. Find (f+g)(x), (f-g)(x), (fg)(x) and ((f)/(g))(x) .

Let f(x) = [x] , g(x)= |x| and f{g(x)} = h(x) ,where [.] is the greatest integer function . Then h(-1) is

Let g(x) = f(f(x)) where f(x) = { 1 + x ; 0 <=x<=2} and f(x) = {3 - x; 2 < x <= 3} then the number of points of discontinuity of g(x) in [0,3] is :

Let f(x) = Max. {x^2, (1 - x)^2, 2x(1 - x)} where x in [0, 1] If Rolle's theorem is applicable for f(x) on largestpossible interval [a, b] then the value of 2(a+b+c) when c in [a, b] such that f'(c) = 0, is