Home
Class 12
MATHS
Differentiate the following w.r.t.x. The...

Differentiate the following w.r.t.x. The differentiation coneffiecient of `f(log_(e)x)w.r.t.x,` where `f(x)=log_(e)x,` is

A

`x/( log_(e) x)`

B

` 1/x "" log_(e) x`

C

` 1/(x log _(e)x)`

D

x log x

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Section -B|35 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Section - C ( More than one options are correct )|5 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Try youself|16 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos
  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - J|12 Videos

Similar Questions

Explore conceptually related problems

Differentiate the following w.r.t.x. x^(x)

Differentiate the following w.r.t.x. e^(e^(x))

Differentiate the following w.r.t.x. e^(x)sinx

Differentiate the following w.r.t.x. x^(x^x)

Differentiate the following w.r.t.x. x^(x^2)

Differentiate the following w.r.t.x. x^sqrtx

Differentiate the following w.r.t.x. sin^(3)x

Differentiate the following w.r.t. x : e^(x)/x

Differentiate the following w.r.t.x : sin(x^2)

Differentiate the following w.r.t. x : e^(-x)

AAKASH INSTITUTE-CONTINUITY AND DIFFERENTIABILITY-Assignment ( section -A)
  1. If y^(2) = ax^(2) + b , " then " (d^(2)y)/( dx^(2))

    Text Solution

    |

  2. If y=(log x)/(x) then (d^(2)y)/(dx^(2))=

    Text Solution

    |

  3. Differentiate the following w.r.t.x. The differentiation coneffiecient...

    Text Solution

    |

  4. If y=(1+x)(1+x^2)(1+x^4)(1+x^(2n)), then find (dy)/(dx)a tx=0.

    Text Solution

    |

  5. If f(x) = cos x cos 2x cos 4x cos (8x). cos 16x then find f' (pi/4)

    Text Solution

    |

  6. If y = cos^(-1)(cos x) then dy/dx at x = (5pi)/4 is (i)1 (ii)-1 (ii...

    Text Solution

    |

  7. If x=e^y+e^((y+ tooo)) , x >0 , then (dy)/(dx) is equal to........

    Text Solution

    |

  8. if x^y . y^x =16 then dy/dx at (2,2) is equal to

    Text Solution

    |

  9. If y = sin x^(@) " and " u = cos x " then " (dy)/(dx) is equal to

    Text Solution

    |

  10. Let the function y = f(x) be given by x= t^(5) -5t^(3) -20t +7 ...

    Text Solution

    |

  11. If u=f(x^3),v=g(x^2),f^(prime)(x)=cosx ,a n dg^(prime)(x)=sinx ,t h e ...

    Text Solution

    |

  12. The differential coefficient of sec^(-1)(1/(2x^2-1)) w.r.t sqrt(1-x^2)...

    Text Solution

    |

  13. If t(1+x^2)=x and x^2+t^2=y then dy/dx at x=2 is

    Text Solution

    |

  14. x=t cost, y=t+sin t. Then (d^2 x)/(dy^2) at t=pi/2 is

    Text Solution

    |

  15. if y = sin 2x , " then " (d^(6)y)/(dx^(6)) " at" x = pi/2 is equal to

    Text Solution

    |

  16. Let f(x) =|{:(x^(3), sinx,cosx),(6,-1,0),(p,p^(2),p^(3)):}| where p is...

    Text Solution

    |

  17. If x=2a t , y=a t^2 , where a is a constant, then find (d^2y)/(dx^2...

    Text Solution

    |

  18. If y = x^(1/x) , the value of (dy)/(dx) at x =e is equal to

    Text Solution

    |

  19. If y = tan^(1-) sqrt((x+1)/(x-1)) " for " |x| gt 1 " then " (dy)/(dx)...

    Text Solution

    |

  20. If y="log"(2)"log"(2)(x), then (dy)/(dx) is equal to

    Text Solution

    |