Home
Class 12
MATHS
If sin (x + y) = y cos (x + y) then prov...

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

Text Solution

Verified by Experts

The correct Answer is:
`(-(1+y^(2)))/(y^(2))`
Promotional Banner

Topper's Solved these Questions

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|11 Videos

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|11 Videos

  • CHSE ODISHA EXAMINATION PAPER 2019

    ARIHANT PUBLICATION|Exercise Group C (30 Marks) |13 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (4 MARK)|47 Videos

Similar Questions

Explore conceptually related problems

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

If e^(x) + e^(y) = e^(x + y) , then prove that (dy)/(dx) = (e^(x)(e^(y) - 1))/(e^(y)(e^(x) - 1)) or (dy)/(dx) + e^(y - x) = 0 .

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

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

If y = a sinx + b cos x then prove that y^2 + ((dy)/(dx))^2 = a^2 + b^2 .

If x^y = e^(x-y) then prove that (dy)/(dx)=logx/(1+logx)^2 .

If sin y = x sin (a + y) then show that (dy)/(dx)=(sin^2(a+y))/(sina)

ARIHANT PUBLICATION-CHSE ODISHA EXAMINATION PAPER 2020 -GROUP B (ANSWER ANY THREE QUESTIONS)
  1. Four cards are drawn successively with replacement from a well shuffle...

    Text Solution

    |

  2. Find the inverse of the matrix [{:(4,-2),(3,1):}]

    Text Solution

    |

  3. There are two families A and B. There are 4 men, 6 women and 2 childre...

    Text Solution

    |

  4. Eliminate x,y,z from a=x/y-z, b=y/z-x, c=z/x-y

    Text Solution

    |

  5. There are 25 girls and 15 boys in class XI and 30 boys and 20 girls in...

    Text Solution

    |

  6. Show that the tangent to the curve x = a (t - sin t), y = at (1 + cos ...

    Text Solution

    |

  7. Examine the continuity of the following function at x = 0 :f(x)={(2x+1...

    Text Solution

    |

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

    Text Solution

    |

  9. What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...

    Text Solution

    |

  10. Find the approximate value of sqrt(48.96)

    Text Solution

    |

  11. Solve : In((dy)/(dx)) = 3x+4y given that y=0, when x=0.

    Text Solution

    |

  12. Evaluate the following integrals int(3sinx+28cosx)/(5sinx+6cosx)dx

    Text Solution

    |

  13. Evaluate the following integrals : int(0)^(pi//2)log|(4+3sinx)/(4+3c...

    Text Solution

    |

  14. The area between x=y^(2) and x=4 is divided into two equal parts by th...

    Text Solution

    |

  15. Solve: xdy/dx+y=y^2ln x

    Text Solution

    |

  16. Prove that the measure of the angle between two main diagonals of a cu...

    Text Solution

    |

  17. Prove that the four points with position vectors 2veca+3vecb-vecc, vec...

    Text Solution

    |

  18. If veca = 3hati+hatj-2hatk, vecb = 2hati-3hatj+4hatk then verify that ...

    Text Solution

    |

  19. Passing throughthe point (2,-3,1) and (-1,1-7) and perpendicular to th...

    Text Solution

    |

  20. Find the perpendicular distance of the point (-1,3,9) from the line (x...

    Text Solution

    |