If `5f(x)+3f(1/x)=x+2` and `y=x f(x),` then find `dy/dx` at `x=1`.

if f'(x)=sqrt(2x^2-1) and y=f(x^2) then (dy)/(dx) at x=1 is:

If f'(x)=sqrtx and f(1)=2 then find f(x).

If 2f (x)- 3f((1)/(x))= x^(2) (x ne 0) then f(2)= ……

If f'(x)=3x^(2)-(2)/(x^(3)) and f(1)=0 then find f(x).

If f'(x)=x-(1)/(x^(2)) and f(1)=(1)/(2) then find f(x).

If f'(x)=x^(2)+5 and f(0)=-1 then f(x)=...

If f^2(x)*f((1-x)/(1+x))=x^3, [x!=-1,1 and f(x)!=0], then find |[f(-2)]| (where [] is the greatest integer function).

If f'(x)=1-(4)/(x^(2)) and f(1)=6 then find f(x) and f(2).

If f and g are two real valued functions defined as f(x)= 2x+1 and g(x)= x^(2)+1 , then find (f)/(g) .