Home
Class 11
MATHS
If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3), ...

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))`

Promotional Banner

Similar Questions

Explore conceptually related problems

If y=sqrt((1-x)/(1+x)), prove that ((1-x^2)dy)/(dx)+y=0

Solve (dy)/(dx)=sqrt(4x+2y-1)

If y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+oo)))),t h e np rov et h a t(dy)/(dx)=(y^2-x)/(2y^3-2x y-1)

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

Evaluate: int(x^2)/(sqrt(1-x^6))dx

If sqrt(x) + sqrt(y)=4,then (dx)/(dy)at y=1.

If x=sqrt(a^(sin^(-1)t)), y= sqrt(a^(cos^(-1)t)) , show that (dy)/(dx)= -(y)/(x) .

y=sin^(-1)[sqrt(x-a x)-sqrt(a-a x)] then prove that 1/(2sqrtx sqrt(1-x))