Home
Class 12
MATHS
If x=e^(sin 3t) y= e ^(cos , 3t) ,then (...

If `x=e^(sin 3t) y= e ^(cos , 3t) ,then (dy)/(dx)=`

A

` (ylog x)/( xlogy ) `

B

` (-ylogx )/( xlogy) `

C

` (xlogy )/( ylogx )`

D

` (-xlogy )/( ylogx) `

Text Solution

Verified by Experts

The correct Answer is:
B
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

If x=e^(sin3t),y=e^(cos3t),"show that "(dy)/(dx)=-(ylogx)/(xlogy)

If x=e^(t)sin t,y=e^(t)cos t then (d^(2)y)/(dx^(2)) at x=pi is

If x=a(t-sin t) and y=a(1+cos t) then (dy)/(dx)=

If x= sin (log t ),y =log (sin t ) ,then (dy)/(dx)=

If x=a(t-sin t),y=a(1-cos t), then (dy)/(dx) is equal to

if sin y+e^(x cos y)=e then (dy)/(dx)

If x = e ^(t ) sin t, y = e ^(t) cos t, then (d ^(2) y )/(dx ^(2)) at t = pi is

If y=e^(3x)sin4x then (dy)/(dx)=

If x=a(t+sin t),y=a(1+cos t), then find (dy/dx)

NIKITA PUBLICATION-DIFFERENTIATION -MCQ
  1. If x= (e^(m) +e^(-m))/( 2) ,y =(e^(m) -e^(-m))/(2) ,then (dy)/(dx) =

    Text Solution

    |

  2. If x=e^(sin 3t), y=e^(cos,3t),then (dy)/(dx)=

    Text Solution

    |

  3. If x=e^(sin 3t) y= e ^(cos , 3t) ,then (dy)/(dx)=

    Text Solution

    |

  4. If x=(t+1/t)^a ,y=a^(t+1/t),"f i n d"(dy)/(dx)

    Text Solution

    |

  5. If x = sqrt(a^(sin^(-1)t)) , y = sqrt(a^(cos^(-1)t) then show that,dy...

    Text Solution

    |

  6. If x= e^(theta )(sin theta - cos theta ) , y= e^(theta ) ( sin ...

    Text Solution

    |

  7. If u=e ^(log cos 4x ),v =e ^(log sin 4x ),then (dv)/(du)=

    Text Solution

    |

  8. If x=t log t ,y =t^(t) ,then (dy)/(dx)=

    Text Solution

    |

  9. If x=sqrt (1+u^(2)),y =log (1+u^(2) ) ,then (dy)/(dx) =

    Text Solution

    |

  10. If x = log (1 + t^(2)) " and " y = t - tan^(-1)t, " then" dy/dx is e...

    Text Solution

    |

  11. If u= log (1+x^(2)) and v=x -tan ^(-1) x,then(dy)/(dx) =

    Text Solution

    |

  12. If x=(1+logt)/(t^2),y=(3+2logt)/t ,"f i n d"(dy)/(dx)dot

    Text Solution

    |

  13. If x=sin^(-1)((t)/(sqrt(1+t^(2)))),y=cos^(-1)((1)/(sqrt(1+t^(2)))),"sh...

    Text Solution

    |

  14. x=sin^(-1)((2theta)/(1+theta^(2))),y=sec^(-1)(sqrt(1+theta^(2)))

    Text Solution

    |

  15. If x=cos ^(-1) (4t^(3) -3t) ,y =tan ^(-1)((sqrt( 1-t^(2)))/( t)),then...

    Text Solution

    |

  16. If x=tan ((1)/(2) sin ^(-1)((2t)/( 1+t^(2))) +(1)/(2)cos ^(-1) ((1-t^...

    Text Solution

    |

  17. If f(x) =tan ^(-1)x,then derivative of f(tan x) w.r.t.f(cot x) is

    Text Solution

    |

  18. If f^(prime)(1)=-2sqrt(2)a n dg^(prime)(sqrt(2))=4 , then the derivati...

    Text Solution

    |

  19. If f'((1)/(2)) =2,g'((sqrt3)/( 2))=2 then derivates of f (cos x),w....

    Text Solution

    |

  20. If y=x-x^2, then the derivative of y^2 w.r.t x^2 is

    Text Solution

    |