(x+y)^(2)=2axy*Fin d(ar)/(ax)

If x^(3)+y^(3)-3axy=0 then prove that (d^(2)y)/(dx^(2))=(2a^(2)xy)/((ax-y^(2))^(3))

If y=x^(tanx)+sqrt((x^2+1)/2),fin d(dy)/(dx)

If y=x^(x)+x^(3)+3^(x)+3^(3)," fin d"(dy)/(dx)

If x^(y)=y^(x) , fin (dy)/(dx).

If quad {(x,y):y^(2)=4ax}:B={(x,y):y^(2)=-4ax};c={(x,y):x^(2)=4ay} and D={(x,y):x^(2)=-4ay} Find the number of points in A nn B nn C nn D.

Area above the X-axis, bounded by the circle x^(2)+y^(2)-2ax=0 and the parabola y^(2)=ax is

Area above the X-axis, bounded by the circle x^(2)+y^(2)-2ax=0 and the parabola y^(2)=ax is

If y+d/(dx)(x y)=x(sinx+logx),fin dy(x)dot

The area of the part of the circle x^(2)+y^(2)=8a^(2) and the parabola y^(2)=2ax through which positive X-axis passes is

The value of |(x^(2)+y^(2),ax+by,x+y),(ax+by,a^(2)+b^(2),a+b),(x+y,a+b,2)| depends on a)a b)b c)x d)None of these