y=sin(ax^(2)+bx+c)

If x_(1) and x_(2) are the real and distinct roots of ax^(2)+bx+c=0 then prove that lim_(xtox1) (1+sin(ax^(2)+bx+c))^(1/(x-x_(1)). equals to

(ax^(2)+bx+c)^(6)

The maximum and minimum values of y=(ax^(2)+2bx+c)/(Ax^(2)+2Bx+C) are these for which :

Find (dy)/(dx) if y=sqrt(ax^(2)+bx+c)

Find (dy)/(dx) for the following : y=sqrt(ax^(2)+bx+c)

(ax^(2) + bx + c)^(n)

If y=sin^(3)sqrt(ax^(2)+bx+c) then find (dy)/(dx)