Home
Class 12
MATHS
Derivative of the function f(x) = log(5)...

Derivative of the function `f(x) = log_(5) (log_(8)x),` where x > 7 is

A

` 1/(x(log 5) (log 7) (log_(7)x))`

B

`1/(x(log5)(log7))`

C

`1/(x(log x) log_(e)5)`

D

`1/((log 5) (log 7) (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 ENGLISH|Exercise Section -B|35 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise Section - C ( More than one options are correct )|5 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise Try youself|16 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J ( Aakash Challengers Questions )|16 Videos

  • DETERMINANTS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J|12 Videos

Similar Questions

Explore conceptually related problems

Integrate the functions f(x) f(x)=x log(x)

Domain of the function f(x) =log_(0.5) (3x-x^(2)-2)

Draw the graph of the function: f(x)=log|x|

If f(x)=log_(a)(log_(a)x) , then f'(x), is

The range of the function f(x) = log_(3) (5+4x - x^(2)) , is

The range of the function is f(x)=log_5(25-x^2) is

The derivative of function f(x) = log_e(2x) w.r.t. t is

The function f(x)=(log(pi+x))/(log(e+x)) s is

The function f(x)=(log(pi+x))/(log(e+x)) s is

The domain of the function: f(x)=log_(3) [-(log_(3) x)^(2)+5 log_3x-6]" is :"

AAKASH INSTITUTE ENGLISH-CONTINUITY AND DIFFERENTIABILITY-Assignment ( section -A)
  1. If y = x^(1/x) , the value of (dy)/(dx) at x =e is equal to

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If f'(x)= sqrt(2x^(2)-1) and y=f(x^(2)),then (dy)/(dx) at x = 1 is

    Text Solution

    |

  5. Let the function f(x) be defined as f(x) = {:{((logx-1)/(x-e) , xnee),...

    Text Solution

    |

  6. Rolle's theorem is not applicable to f(x) = |x| in [ -2,2] because

    Text Solution

    |

  7. Lagrange's mean value theorem is not applicable to f(x) in [1,4] where...

    Text Solution

    |

  8. The value of C ( if exists ) in Lagrange's theorem for the function |x...

    Text Solution

    |

  9. If f be a function such that f(9)=9 and f'(9)=3, then lim(xto9)(sqrt(f...

    Text Solution

    |

  10. If f(x) = {{:(1/(1+e^(1//x)), x ne 0),(0,x=0):} then f(x) is

    Text Solution

    |

  11. f(x)=sqrt(1-sqrt(1-x^2) then at x=0 ,value of f(x) is

    Text Solution

    |

  12. Domain of differentiations of the function f(x) = |x -2| cos x is

    Text Solution

    |

  13. Let f(x) = (sin (pi [ x + pi]))/(1+[x]^(2)) where [] denotes the great...

    Text Solution

    |

  14. If f(x)=x^2+(x^2)/(1+x^2)+(x^2)/((1+x^2)^2)+ ....oo term then at x=0,f...

    Text Solution

    |

  15. Let f(x)={(|x+1|)/(tan^(- 1)(x+1)), x!=-1 ,1, x!=-1 Then f(x) is

    Text Solution

    |

  16. The value of lim(h to 0) (f(x+h)+f(x-h))/h is equal to

    Text Solution

    |

  17. If y = (e^(x)+1)/(e^(x)-1), " then" (y^(2))/2 + (dy)/(dx) is equal to

    Text Solution

    |

  18. If f(x)=e^(x)g(x),g(0)=2,g'(0)=1, then f'(0) is

    Text Solution

    |

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

    Text Solution

    |

  20. Derivative of the function f(x) = log(5) (log(8)x), where x > 7 is

    Text Solution

    |