Home
Class 12
MATHS
If u=e ^(log cos 4x ),v =e ^(log sin 4x...

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

A

` (v)/( u)`

B

` (-v)/( u)`

C

` (u)/(v)`

D

` (-u)/(v)`

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

cos^3x e^(log sin x)

If x=e^(log(cos4theta)),y=e^(log(sin4theta)),"then "(dy)/(dx)" is "

If f(x)=e^(sin(log cos x)) and g(x)=log cos x , then what is the derivative of f(x) with respect to g(x) ?

If f(x)=e^(sin(log cos x)) and g(x)=log cos x then what is the derivative of f(x)g(x)?

log [sin (x ^ (6) e ^ (x))]

If y=log _(e) x+sin x+e^(x) then (dy)/(dx) is:

If f'(1) = 2 and v = f (log_(e)x) , then ( dv)/(dx) is for x = e

If x,=e^(cos2t) and y=e^(sin2t), prove that (dy)/(dx),=-(y log x)/(x log y)

If x log_(e) (log _(e) x) - x^(2) + y^(2) = 4 (y gt 0) , then (dy)/(dx) at x = e is equal to

If e^(v)+e^(u)=e^(v+u) , then (du)/(dv)=

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |