Home
Class 12
MATHS
Find dy/dx if xy=cos(x+y)...

Find dy/dx if
xy=cos(x+y)

Text Solution

Verified by Experts

Given, xy=cos(x+y)
Differentiating both sides w.r.t. x, we get
xdy/dx+y=-sin(x+y)(1+dy/dx)
`implies {x+sin(x+y)}.dy/dx=-y-sin(x+y)`
`implies dy/dx=-(y+sin(x+y))/(x+sin(x+y))`
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|51 Videos

  • FUNCTION

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|115 Videos

Similar Questions

Explore conceptually related problems

Find dy/dx if sec(x+y) = xy

Find dy/dx , if x = a cos θ, y = b cos θ

Find dy/dx if : x^sin y +y^cos x =1

Find (dy)/(dx) if y+ sin y= cos x

Find (dy)/(dx) of y+sin y=cos x

Find (dy)/(dx) if,sin xy+cos(x+y)=1

Find (dy)/(dx) of x^(2)+xy+cos^(2)y=1

MAHAVEER PUBLICATION-DIFFERENTIATION OR DERIVATIVE OF A FUNCTION-QUESTION BANK
  1. Find dy/dx if (x/a)^n+(y/b)^n=1

    Text Solution

    |

  2. Find dy/dx if x^my^n=(x+y)^(m+n)

    Text Solution

    |

  3. Find dy/dx if xy=cos(x+y)

    Text Solution

    |

  4. Find dy/dx if xy+y^2=tanx+y

    Text Solution

    |

  5. Find dy/dx if y=sqrt([sinx+sqrt({sinx+sqrt((sinx+.....)}])

    Text Solution

    |

  6. Find dy/dx if x=at^2, y=2at

    Text Solution

    |

  7. Find dy/dx if x=(2at)/(1+t^2), y=(a(1-t^2))/(1+t^2)

    Text Solution

    |

  8. Find dy/dx if x=rcostheta, y=rsintheta

    Text Solution

    |

  9. Find dy/dx if x=acos^3theta, y=bsin^3theta

    Text Solution

    |

  10. Find dy/dx if x=a(theta+sintheta), y=a(1-costheta)

    Text Solution

    |

  11. Find dy/dx if sinx=(2t)/(1+t^2), cos y=(1-t^2)/(1+t)^2

    Text Solution

    |

  12. Find dy/dx if x=a(t+sint), y=a(1+cos t) at t=pi/2

    Text Solution

    |

  13. A particle is moving in a straight line according to the law S=t^3+2t^...

    Text Solution

    |

  14. For a particle moving along a straight line, the relation between the ...

    Text Solution

    |

  15. A particle is moving in a straight line is at a distance S from a poin...

    Text Solution

    |

  16. The radius of a circle is increasing at the rate of 0.7 cm//s. What is...

    Text Solution

    |

  17. At what point of the parabola y^2=18x, does the ordinate increase at t...

    Text Solution

    |

  18. A particle moves along a curve 6y=x^3+2. Find the points on the curve ...

    Text Solution

    |

  19. The sides of an equilateral triangle increases at the rate of sqrt3 cm...

    Text Solution

    |

  20. The length x of a rectangle is decreasing at the rate of 5 cm//minute ...

    Text Solution

    |