Home
Class 12
MATHS
Derivative of (log x) ^(x) w.r.t log x ...

Derivative of ` (log x) ^(x) w.r.t log x ` is

A

` (logx)^(x) ( log (log x) +(1)/(log x ))`

B

` (logx)^(x) ( log (log x) +(1)/(xlog x ))`

C

` x(logx)^(x) ( log (log x) +(1)/(log x ))`

D

` x(logx)^(x) ( log (log x) +(1)/(xlog x ))`

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

Derivative of x ^(x) w.r.t xlogx is

Find the derivative of (log x)^(cos x) w.r.t.x

Derivative of log [log(log(logx)] w.r.t.x is the reciprocal of

Derivative of log (cosecx)w.r.t.cotx is

Find the derivative of cos(log(cot x)) w.r.t x .

Find derivative of log x w.r.t.to x

Find derivative of cos(log x+e^(x)),x>0 w.r.t.to x

What is the derivative of log _(x)5 w.r.t.log_(5)x?

What is the derivative of log _(x)5 wrt log _(5)x?

NIKITA PUBLICATION-DIFFERENTIATION -MCQ
  1. Darivative of tan ^(-1) (logt) w.r.t log (sec^(-1) t) is

    Text Solution

    |

  2. Derivative of x ^(x) w.r.t xlogx is

    Text Solution

    |

  3. Derivative of (log x) ^(x) w.r.t log x is

    Text Solution

    |

  4. Differentiate (cosx)^(sinx) w.r.t (sinx)^(cosx)

    Text Solution

    |

  5. cos^(-1)(sinx)w.r.t. tan^(-1)x

    Text Solution

    |

  6. tan^(-1)((x)/(sqrt(1-x^(2))))"w.r.t."sec^(-1)((1)/(2x^(2)-1))

    Text Solution

    |

  7. Darivative of tan ^(-1) ((x)/( sqrt(1-x^(2)))) w.r.t. sin ^(-1) (3x -...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. 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

    |

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

    Text Solution

    |

  19. 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

    |

  20. 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

    |