Home
Class 12
MATHS
If x=t log t ,y =t^(t) ,then (dy)/(dx)=...

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

A

` -e^(-x)`

B

` e^(-x)`

C

` -e^(x)`

D

` y`

Text Solution

Verified by Experts

The correct Answer is:
D
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 = 4t ,y =(4)/(t) ,then (dy)/(dx)=

If x=t*logt" and "y=t^(t)," then: "(dy)/(dx)=

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

If " "x=t^(2),y=t^(3) ," then "(dy)/(dx)" at "t=-1" is "

x=e^(t)log t y=t log t then dy/dx

If x=t^(3) and y=t^(4) then (dy)/(dx) at "t=-1" is

If x=at,y=(a)/(t)," then "(dy)/(dx)=

If y=t^(2)-t+1," then: "(dy)/(dx)=

If x=(t+1)/(t),y=(t-1)/(t)," then "(dy)/(dx)=

1.If x=5t-t^(3) ,y=t^(2)+4t find (dy)/(dx) at t=1 .

NIKITA PUBLICATION-DIFFERENTIATION -MCQ
  1. If x= e^(theta )(sin theta - cos theta ) , y= e^(theta ) ( sin ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Darivative of sin x w.r.t. cos x is

    Text Solution

    |

  17. e^(x)"cos x w.r.t."e^(x)sinx

    Text Solution

    |

  18. Derivative e^(x) cos x w.r.t. e^(x) sin x , at x=0 is

    Text Solution

    |

  19. e^(x)"cos x w.r.t."e^(x)sinx

    Text Solution

    |

  20. Derivative 5^(x) w.r.t. log 5 x is

    Text Solution

    |