Home
Class 11
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

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 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) (log x)," then find "f'(x) at x= e

If f(x)=log_(x)(log_(e)x) , then the value of f'(e ) is -

If f(x)=log_5log_3 x , then f'(e ) is equal to

If f(x)=log_(5)log_(3)x , then f'(e ) is equal to

If f(x) =|log_(e)|x||, then f'(x) equals

If f^(prime)(x)=sqrt(2x^2-1) and y=f(x^2),t h e n(dy)/(dx) at x=1 is (a)2 (b) 1 (c) -2 (d) none of these

If f: R^+rarrR^+ is a polynomial function satisfying the functional equation f(f(x))=6x-f(x),t h e nf(17) is equal to 17 (b) 51 (c) 34 (d) -34

If f(x) = log_e ((1-x)/(1+x)) , then f' (0) is

lim_(x->oo)(1/e-x/(1+x))^x is equal to (a) e/(1-e) (b) 0 (c) e/(e^(1-e)) (d) does not exist

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. If fr(x),gr(x),hr(x),r=1,2,3 are polynomials such that fr(a)=gr(a)=hr(...

    Text Solution

    |

  2. Find (dy)/(dx)ifx=a(theta-sintheta) and y=a(1-costheta)dot

    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. Differentiate tan^(-1)(x/(1+sqrt((1-x^2)))) +{2tan^(-1)sqrt(((1-x)/(1+...

    Text Solution

    |

  5. If x=asec^3theta and y=atan^3theta, find (dy)/(dx) at theta=pi/3dot

    Text Solution

    |

  6. Differentiate (logx)^(cosx) with respect to xdot

    Text Solution

    |

  7. Find the differential equation of the curves given by y = Ae^(2x)+Be^(...

    Text Solution

    |

  8. If f(x)=xsinx, then find f^(prime)(pi/2)

    Text Solution

    |

  9. about to only mathematics

    Text Solution

    |

  10. If y=sqrt(log{sin((x^2)/3-1)}), t h e n find (dy)/(dx)dot

    Text Solution

    |

  11. Find (dy)/(dx) of y= x^3

    Text Solution

    |

  12. Find (dy)/(dx) for y=sin(x^2+1)dot

    Text Solution

    |

  13. Let f(x)=x+1/(2x+1/(2x+1/(2x))) Compute the value of f(5) .

    Text Solution

    |

  14. y=tan^(-1) ((3x-x^3)/(1-3x^2)). Find dy/dx .

    Text Solution

    |

  15. Find y' of y= 5x^5

    Text Solution

    |

  16. y = sin^(-1)(1/sqrt(1+x^2)) + cos^(-1)(1/sqrt(1+x^2)). find dy/dx.

    Text Solution

    |

  17. If x^2+y^2=R^2(w h e r eR >0)a n dk=(y prime prime)/(sqrt((1+yprime^2)...

    Text Solution

    |

  18. y= tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))), wher...

    Text Solution

    |

  19. Find the derivative of sec^(-1)(1/(2x^2-1)) w.r.t sqrt(1-x^2) at x=1/...

    Text Solution

    |

  20. y=tan^(-1)((acosx-bsinx)/(bcosx+asinx)), where -pi/2ltxltpiand a/btanx...

    Text Solution

    |