Home
Class 12
MATHS
If cos^(-1)((x^2-y^2)/(x^2+y^2))=tan^(-1...

If `cos^(-1)((x^2-y^2)/(x^2+y^2))=tan^(-1)a` , prove that `(dy)/(dx)=y/xdot`

Promotional Banner

Similar Questions

Explore conceptually related problems

If cos^(-1)((x^(2)-y^(2))/(x^(2)+y^(2)))=tan^(-1)a , prove than (dy)/(dx)=(y)/(x).

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

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

If tan^(-1)((x^2-y^2)/(x^2+y^2))=a , prove that (dy)/(dx)=x/y((1-tana))/((1+tana)) .

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

If tan((x^(2)-y^(2))/(x^(2)+y^(2)))=a then prove that (dy)/(dx)=(y)/(x)

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

if y=tan^(-1)((2x)/(1-x^(2))) then prove that (dy)/(dx)=(2)/(1+x^(2))

If y=sin(tan^(-1)2x), prove that (dy)/(dx)=(2)/((1+4x^(2))^((3)/(2)))

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