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

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 3:|1 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 2|27 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

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

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

If x^16 . y^9 = (x^2 + y)^(17) , prove that (dy)/(dx) = (2y)/x .

If x^2+y^2=t-1/t and x^4+y^4=t^2+1/(t^2) , then prove that (dy)/(dx)=1/(x^3y)

Find (d^2y)/(dx^2) if y = tan^(-1) x .

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

"If "x^(y)=e^(x-y)," prove that "(dy)/(dx)=(log x)/((1+log x)^(2)).

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

(1+x^(2))(dy)/(dx)+y=e^(tan^(-1)x)