If `|x|<1,t h e n1+n((2x)/(1+x))+(n(n+1))/(2!)((2x)/(1+x))^2+......` is equal to

Let x_(1), x_(2), …… , x_(n) be in an A.P. If x_(1) + x_(4) + x_(9) + x_(11) + x_(20) + x_(22) + x_(27) + x_(30) = 272 , then x_(1) + x_(2) + x_(3) + ...... + x_(30) is equal to

If |[1 , x, x^2],[ x , x^2 , 1],[ x^2 , 1 , x]|=3 , then the value of |[x^(3)-1, 0 , x-x^4],[ 0, x-x^(4) , x^(3)-1],[ x-x^(4) , x^(3)-1 , 0]|

If |[1,x,x^2] , [x,x^2,1] , [x^2,1,x]|=3 then find the value of |[x^3-1, 0, x-x^4] , [0,x-x^4, x^3-1] , [x-x^4, x^3-1, 0]|

The derivative of f(x) = x |x| at x=-3 is …............ .

If |(x-4,2x,2x),(2x,x-4,2x),(2x,2x,x-4)|=(A+Bx)(x-A)^2 then the ordered pair (A,B) is equal to

Letf, g: RtoR be defined as f(x) = 3x - |x| and g(x) = 3x + | x |, find fcircg .

Draw the graph of the functions f (x) = |x|, f(x) = |x-1| and f(x) = (x-1)^2