Home
Class 12
MATHS
If f(x)=(log)x(log x),t h e nf^(prime)(x...

If `f(x)=(log)_x(log x),t h e nf^(prime)(x)` at `x=e` is equal to (a) `1/e` (b) e (c) 1 (d) zero

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(log)_x(lnx),t h e nf^(prime)(x) at x=e is equal to 1/e (b) e (c) 1 (d) zero

If f(x)=(log)_(x^2)(logx) , then f^(prime)(x) at x=e is (a) 0 (b) 1 (c) 1/e (d) 1/2e

If f(x)=(log)_(x^2)(logx), then f^(prime)(x) at x=e is 0 (b) 1 (c) 1/e (d) 1/2e

If f(x)=(log)_(x^2)(logx), then f^(prime)(x) at x=e is 0 (b) 1 (c) 1/e (d) 1/2e

If f(x)=|x^2-5x+6|,t h e nf^(prime)(x)e q u a l s

If f(x)=(log)_e((log)_e x) , then write the value of f^(prime)(e) .

If f(x)=log_(e)(log_(e)x)/log_(e)x then f'(x) at x = e is

If f(x)="cos"((log)_e x),t h e nf(x)f(y)-1/2[f(x/y)+f(x y)] has value (a) -1 (b) 1/2 (c) -2 (d) none of these

If f(x)="cos"((log)_e x),t h e nf(x)f(y)-1/2[f(x/y)+f(x y)] has value (a) -1 (b) 1/2 (c) -2 (d) none of these

If f(x)=log((1+x)/(1-x))a n dt h e nf((2x)/(1+x^2)) is equal to {f(x)}^2 (b) {f(x)}^3 (c) 2 f(x) (d) 3f(x)

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If f(x)=2ln(x-2)-x^2+4x+1, then find the solution set of the inequalit...

    Text Solution

    |

  2. If graph of y= f(x) is as shown in figure, then which of the following...

    Text Solution

    |

  3. If f(x)=(log)x(log x),t h e nf^(prime)(x) at x=e is equal to (a) 1/e ...

    Text Solution

    |

  4. Sum of all the solutions of the equation : tan^2 33x = cos2x - 1 which...

    Text Solution

    |

  5. Let y=x^(3)-8x+7 and x=f(t)." If "(dy)/(dt)=2 and x=3 at t = 0," then ...

    Text Solution

    |

  6. The graphs of y= sin x ,y=cos x , y=t a n x& y=cos e c x drawn on the ...

    Text Solution

    |

  7. The values of lambda for which the function f(x)=lambdax^3-2lambdax^2...

    Text Solution

    |

  8. Number of solutions of the equation, [y+[y]]=2cosx is: (where y=1//3)[...

    Text Solution

    |

  9. Number of solutions of the equation, cot^(-1)(x^2+1)=sin^(-1)|x| (a)...

    Text Solution

    |

  10. If the difference of the roots of the equation, x^2+p x+q=0 be unity,...

    Text Solution

    |

  11. Range of f(x) =[1+sinx]+[cosx-1]+[tan^(- 1)x] AA x in [0,2pi] where []...

    Text Solution

    |

  12. If -3+5i is a root of the equation x^2+p x+q=0 , then the ordered pair...

    Text Solution

    |

  13. Number of distinct real solutions of the equation x^(2)+((x)/(x-1))^(2...

    Text Solution

    |

  14. (p ^^ ~ q)vv q is logical equivalent to (a) p vv q (b) ~P (c) p (d) ~q

    Text Solution

    |

  15. Equation of circle symmetric to the circle x^(2)+y^(2)+16x -24y +183 =...

    Text Solution

    |

  16. Equation of straight liens joining the origin and points of interse...

    Text Solution

    |

  17. Which of the following function is not periodic, where [.] denotes g...

    Text Solution

    |

  18. Show that (i) p to (pvvq) is a tautology (ii) (pvvq) ^^(~ p ^^~q) ...

    Text Solution

    |

  19. ABC is a triangle. The coordinates of whose vertices are (-2,4),(10 ,-...

    Text Solution

    |

  20. If : A=[1 2 0-1 1 2 2-1 1],t h e nA d j(A)= [3 5-1-2 1 5 4-2 3] (b) ...

    Text Solution

    |