Home
Class 12
MATHS
if f(x)=log5 log3 x then f'(e) is equal ...

if `f(x)=log_5 log_3 x` then `f'(e)` is equal to

A

`e log _(e) 5`

B

`e log _(e) 3`

C

`(1)/( elog _(e) 5)`

D

`(1)/( e log _(e) 3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS|22 Videos
  • DEFINITE INTEGRALS

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE)|5 Videos
  • DIFFERENTIAL EQUATIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions|19 Videos

Similar Questions

Explore conceptually related problems

If f(x)=log_(a)(log_(a)x) then f'(x) is equal to

Iff(x)=log_(5)log_(3)X,thenf'(e)' is equal to

f(x)=log_(e)|x|,xne0, then f'(x) is equal to

If f(x)=log(logx)," then "f'(e)=

If f(x)=log|2x|,x!=0 then f'(x) is equal to

If f(x)=log|2x|,xne0 then f'(x) is equal to

If f(x)=(log)_x(logx) , then f'(x) at x=e is equal to......

If int(f(x))/(log(sinx))dx=log[log sinx]+c , then f(x) is equal to

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

MTG-WBJEE-DERIVATIVES -WB JEE PREVIOUS YEARS QUESTIONS
  1. Let R be the set of all real number and f: [-1,1] to R is difined by ...

    Text Solution

    |

  2. Suppose that f (x) is a differentiable function such that f'(x) is con...

    Text Solution

    |

  3. For all real values of a (0) , a (1), a (2), a (3) satisfying a (0)+ (...

    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 y=f(x) is an odd differentiable function defined on (-oo,oo) such ...

    Text Solution

    |

  6. If f (x) = tan ^(-1) [ (log ((e )/( x ^(2))))/(log (ex ^(2)))] + tan ^...

    Text Solution

    |

  7. Consider the non-constant differentiable function f of one variable wh...

    Text Solution

    |

  8. if f(x)=log5 log3 x then f'(e) is equal to

    Text Solution

    |

  9. Let F (x) = e ^(x) , G (x) =e ^(-x) and H (x) = G (F(x)), where x is a...

    Text Solution

    |

  10. IF y = e ^(m sin ^(-1)x)) and (1- x ^(2)) (d ^(2) y )/( dx ^(2)) - x ...

    Text Solution

    |

  11. Let f (x) = {{:((x ^(p))/(( sin x ) ^(q) )"," , 0 lt x le (pi)/(2) ), ...

    Text Solution

    |

  12. For all twice differentiable functions f : R to R , with f(0) = f...

    Text Solution

    |

  13. Let f1(x)=e^x,f2(x)=e^(f1(x)),......,f(n+1)(x)=e^(fn(x)) for all n>=1....

    Text Solution

    |

  14. Let f : [a,b] to Rbe differentiable on [a,b]& k in R. Let f (a) =0 = f...

    Text Solution

    |

  15. Let f (x) gt 0 for all x and f'(x) exists for all x. If f is the inver...

    Text Solution

    |

  16. Applying Largrange's mean value theorem for a suitable function f (x) ...

    Text Solution

    |

  17. The number of points at which the function f(x) = max{a - x, a + x, b}...

    Text Solution

    |

  18. Let f be arry continuously differentiable function on [a,b] and twice ...

    Text Solution

    |

  19. If f(x)=x^n, n being a non-negative integer,then the values of n for...

    Text Solution

    |

  20. Let f: [1,3] to R be a continuous function that is differentiable in (...

    Text Solution

    |