`f(x-(1)/(x))=4`,find the value of (i) `(x^(2)+(1)/(x^(2)))`.(ii) `(x^(4)+(1)/(x^(4)))`

If 2x - (1)/(2x) =4 , find : (i) 4x^(2) + (1)/( 4x^2)

If 2x - (1)/(2x) =4 , find : (ii) 8x^(3) - (1)/( 8x^3)

Find the derivative (i) x^(1//3) (ii) (2)/(x^(3//2)) (iii) 3x^(-1//4)

find the value of x for which f(x) = ((2x-1)(x-1)^(2)(x-2)^(2))/((x-4)^(2))ge 0.

If x+1/x=6 , find (i) x^2+1/(x^2) (ii) x^4+1/(x^4)

If x-1/x=3,\ find the values of x^2+1/(x^2)a n d\ x^4+1/(x^4)dot

If x+1/x=sqrt(5) , find the values of x^2+1/(x^2) and x^4+1/(x^4)

Find the value of tan^(-1)((x-2)/(x-1))+tan^(-1)((x+2)/(x+1))=pi/4

Find the range of (a) f(x) = x^(2) + 2x + 4 (b) f(x) = 1+x -x^(2)

Find the points of discontinuity of the following fiunctions over R. (i) f(x) =(1)/(2 sin x-1)(ii)f(x) =(1)/(x^(2)-3|x|+2) (iii) f(x) =(1)/(x^(4)+x^(2)+1)