Home
Class 12
MATHS
[" (v) Differentiate "log[(sqrt(1+x^(2))...

[" (v) Differentiate "log[(sqrt(1+x^(2))+x)/(sqrt(1+x^(2))-x)]" w.r.t."],[cos(log x)]

A

` (x)/( sqrt( 1+x^(2)) sin(log x))`

B

` (-x)/( sqrt( 1+x^(2)) sin(log x))`

C

` (2x)/( sqrt( 1+x^(2)) sin(log x))`

D

` (-2x)/( sqrt( 1+x^(2)) sin(log x))`

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

Differentiate y=log(x+sqrt(x^2+1))

Differentiate log((x+sqrt(x^(2)-1))/(x-sqrt(x^(2)-1)))

Differentiate e^(log(x+sqrt(x^2+a^2))) w.r.t x

differentiate: log(log x)

Differentiate : log{log[log(x^(4))]}

Differentiate log (7 log x) w.r.t.x

Differentiate log(cos x^(2)) with respect to x:

Differentiate log(x+sqrt(x^(2)+1)) with respect to x:

Differentiate log(x^(x)+cosec^(2)x) w.r.t. x.

Differentiate (log x)^(tan x)w.r.t.sin(m cos^(-1)x)

NIKITA PUBLICATION-DIFFERENTIATION -MCQ
  1. Darivative of tan ^(-1) ((x)/( sqrt(1-x^(2)))) w.r.t. sin ^(-1) (3x -...

    Text Solution

    |

  2. Differential coefficient of tan^(-1)sqrt((1-x^2)/(1+x^2)) w.r.t. cos^(...

    Text Solution

    |

  3. [" (v) Differentiate "log[(sqrt(1+x^(2))+x)/(sqrt(1+x^(2))-x)]" w.r.t....

    Text Solution

    |

  4. Derivative of tan ^(-1) ((a-x)/( 1+ax) ) w.r.t. sin ^(-1) (3x-4x^(3))...

    Text Solution

    |

  5. Derivative of tan ^(-1) ((sqrt( 1+x^(2))-1)/( x)) w.r.t. tan ^(-1) ((...

    Text Solution

    |

  6. Derivative of tan ^(-1) ((sqrt( 1+x^(2))-1)/( x)) w.r.cos ^(-1) sqrt(...

    Text Solution

    |

  7. Find the differential coefficient of : (tan^(-1)x)/(1+tan^(-1)x)" ...

    Text Solution

    |

  8. If x^2+6x y+y^2=10, Show that (d^2y)/(dx^2)=80/((3x+y)^3).

    Text Solution

    |

  9. If y= x ^(3) +5x^(2) -3x +10 ,then (d^(2)y)/(dx^(2))=

    Text Solution

    |

  10. If ax^(2)+2hxy+by^(2)=0,"show that "(d^(2)y)/(dx^(2))=0

    Text Solution

    |

  11. If a x^2+2h x y+b y^2=1,t h e n(d^(2y))/(dx^2) is (h^2-a b)/((h x+b y)...

    Text Solution

    |

  12. If x^my^n = (x + y)^(m+n), prove that (d^2y)/(dx^2)=0.

    Text Solution

    |

  13. If y=a x^(n+1)+b x^(-n) , then x^2(d^2y)/(dx^2)= n(n-1)y (b) n(n+1)y ...

    Text Solution

    |

  14. If y^2=a x^2+b x+c , then y^3(d^2y)/(dx^2) is (a) a constant (b) a fun...

    Text Solution

    |

  15. if (x-a)^2+(y-b)^2=c^2 then {1+((dy)/(dx))^2}/{(d^2y)/(dx^2)} =?

    Text Solution

    |

  16. If f(x) =1 + nx+ (n(n-1))/(2) x^(2) + (n(n-1)(n-2))/(6) x^(3) + ...+...

    Text Solution

    |

  17. If y=5" cos"x-3" sin"x, prove that (d^(2)y)/(dx^(2))+y=0.

    Text Solution

    |

  18. If y=sec x -tan x ,then (d^(2)y)/(dx^(2)) =

    Text Solution

    |

  19. If y=cos ^(2) ((3x) /( 2))-sin ^(2) ((3x)/( 2) ),then (d^(2)y)/( dx^(...

    Text Solution

    |

  20. If y= sin x sqrt ( cos x ) ,then (d^(2)y)/(dx^(2)) =

    Text Solution

    |