`(d(2^(x)))/(d(3^(x)))=………`

(d)/(dx)(3x^(2)+2x)=

(d^(2))/(dx^2)(x^(2)+3x+2)=

If int sqrt((x)/(a^(3)-x^(3)))dx=(d)/(b)sin^(-1)((x^((3)/(2)))/(a^((3)/(2))))+C (where b&d are coprime integer) then b+d equals to.

If (d(f(x))/(dx)=(1)/(1+x^(2)) then (d)/(dx){f(x^(3))} is

If y^(3)-y=2x, then (x^(2)-(1)/(27))(d^(2)y)/(dx^(2))+x(dy)/(d)=y b.(y)/(3) c.(y)/(9) d.(y)/(27)

If x^(2)+3x+2,"then "(d^(2)y)/(dx^(2))= ____________ .

If (x^(4))/((x-1)(x-2)(x-3))= A.x+B. (1)/((x-1))+C (1)/((x-2))+D. (1)/((x-3))+E , then A+B+C+D+E=