Let `f(x)=x^2 + 3x-3,x leq 0`. If n points `x_1, x_2, x_3,.....,x_n` are so chosen on the x-axis such that

Let f (x ) = | 3 - | 2- | x- 1 |||, AA x in R be not differentiable at x _ 1 , x _ 2 , x _ 3, ….x_ n , then sum _ (i= 1 ) ^( n ) x _ i^2 equal to :

Let f (x ) = | 3 - | 2- | x- 1 |||, AA x in R be not differentiable at x _ 1 , x _ 2 , x _ 3, ….x_ n , then sum _ (i= 1 ) ^( n ) x _ i^2 equal to :

The following functions are defined for the set of variables x_1, x_2, x_3,.......,x_n Find the value of f(f(x_2, x_3),f(x_5, x_6)) if n=3

Let f(x)= x^4- 3x^3 + 2x^2-3x+ a .If f(sqrt-1)= 0 and a in R then prove that f (x) < 0 for x in (1,2) .

Let f(x)=1+x , 0 leq x leq 2 and f(x)=3−x , 2 lt x leq 3 . Find f(f(x)) .

Let f(x) =x^(3)-3x +2. Examine the monotonicity of function at points x=0.1,2

Let f(x) =x^(3)-3x +2. Examine the monotonicity of function at points x=0.1,2

Let f(x)={1+x,0<==x<==2 and 3-x,2