Home
Class 12
MATHS
if sin^-1 ((x^2-y^2)/(x^2+y^2))=c prove ...

if `sin^-1 ((x^2-y^2)/(x^2+y^2))=c` prove that `(dy)/(dx)=y/x`

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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

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

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

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

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

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