Home
Class 12
MATHS
If x^(y) = y^(x) " then " (dy)/(dx)= ?...

If `x^(y) = y^(x) " then " (dy)/(dx)=` ?

A

` (-y (xlog y-y))/( x(ylog x -x))`

B

` (-x (ylog x-x))/( y(xlog y -y))`

C

` (y( xlog y-y))/( x(ylog x-x) )`

D

` (x( ylog x-x))/( y(xlog y-y))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • Differential Equation

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|277 Videos

  • INTEGRATION

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|582 Videos

Similar Questions

Explore conceptually related problems

x^(y)=y^(x) then find (dy)/(dx)

If x^(y) = 2^(x-y) , then (dy)/(dx) =?

If x^(y)=y^(x), then find (dy)/(dx)

"If "x^(y)=e^(x-y)" then "(dy)/(dx)=

If x^(y) = e^(2(x-y)), "then" (dy)/(dx) is equal to

If x^(y)=y^(x), then find(dy)/(dx)

If x^y = e^(x-y) " then " dy/dx ?

If x^(y) =3^(x-y),then (dy)/(dx)=

If x^(y)=e^(x-y); then (dy)/(dx) is

If y = x/(x+y) then (dy)/(dx)=

NIKITA PUBLICATION-DIFFERENTIATION -MCQ
  1. If x^(y) =3^(x-y),then (dy)/(dx)=

    Text Solution

    |

  2. If y^(y) =xsin y,then (dy)/(dx)=

    Text Solution

    |

  3. If x^(y) = y^(x) " then " (dy)/(dx)= ?

    Text Solution

    |

  4. If x^(y) y^(x)=(x+ y)^(x+y).then (dy)/(dx)=

    Text Solution

    |

  5. If sec ((x+y)/( x-y))=a^(2) ,then (dy)/(dx) =

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. If tan^(-1)((x^(2)-2y^(2))/(x^(2)+2y^(2)))=a,"show that "(dy)/(dx)=(x(...

    Text Solution

    |

  10. If log (10) ((x^(2) - y^(2))/(x^(2) + y^(2))) = 2 , " then" (dy)/(dx)...

    Text Solution

    |

  11. IF log (10)""((x^(3)-y^(3))/(x^(3)+y^(3)))=2 then (dy)/(dx)=

    Text Solution

    |

  12. If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+\ dotto\ oo))) , prove that (dy)/(d...

    Text Solution

    |

  13. If y=sqrt(logx+sqrt(logx+sqrtlogx+......oo)), " then " dy/dx is

    Text Solution

    |

  14. If x= e^(y+e^(y+....infty )),xgt 0,then (dy)/(dx)=

    Text Solution

    |

  15. If y =e^(x+e^(x+e^(x+...infty ))),then (dy)/(dx) =

    Text Solution

    |

  16. If y= x^(2) +(1)/( x^(2) + (1)/( x^(2) +...infty )),then (dy)/(dx) =

    Text Solution

    |

  17. If y= (sin x )/( 1+(cos x )/(( sin x)/(1+ ....infty ))),then (dy)/(dx...

    Text Solution

    |

  18. If x = 4t ,y =(4)/(t) ,then (dy)/(dx)=

    Text Solution

    |

  19. If x=a(t-(1)/(t)),y=a(t+(1)/(t)), where t be the parameter, then (dy)/...

    Text Solution

    |

  20. If x= at^(2) ,y= at ,then (dy)/(dx)=

    Text Solution

    |