Question

a) If y(x) = (x^2 + x-1)
* (x-1)^4 *(x-2)^2, then
d^4 y/dx^4 at x = 1 is

(b)If y(x) = (1+x^2)^-1 , then d^4y/dx^4 at x=0 is

(c) If f is differentiable f(2) = 6 and f'(2) = 1/48, then lim x--> 2 integration limits 0 to f(x) t^3/(x-2) dt is

(d) If {x} = x - [x], then integration under limits 0 to 64 {x^1/3} dx is