`(dy)/(dx)+(y)/((1-x^(2))^(3/2))=(x+sqrt(1-x^(2)))/((1-x^(2))^(2))`

(dy)/(dx) = sqrt((1-y^(2))/(1-x^(2)))

If sqrt(1-x^(6))+sqrt(1-y^(6))=a(x^(3)-y^(3)), then prove that (dy)/(dx)=(x^(2))/(y^(2))sqrt((1-y^(6))/(1-x^(6)))

Find (dy)/(dx) , when: y=(x^(2)sqrt(1+x))/((1+x^(2))^(3//2))

(y)/(x)(dy)/(dx)=sqrt(1+x^(2)+y^(2)+x^(2)y^(2))

(dy)/(dx)+(y)/(x)=(1)/(sqrt(1+x^(2)))

Find (dy)/(dx) if,y=((x^(2)-1)^(3)(2x-1))/(sqrt((x-3)(4x-1)))

If y=tan^(-1)[(sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2)))] for 0<|x|<1 ,find (dy)/(dx)

Find(dy)/(dx),quad y=((x^(2)-1)^(3)(2x-1))/(sqrt((x-3)(4x-1)))

sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y),show(dy)/(dx)=sqrt((1-y^(2))/(1-x^(2)))

y=((3x^(2)+1)sqrt(1+x^(2)))/(x^(3)) find dy/dx