Home
Class 12
MATHS
Maximum value of f(x)=(lnx)^20.x^30 occu...

Maximum value of `f(x)=(lnx)^20.x^30` occurs at `x=-2/3` (b) `x=1` `x=e^(-2/3)` (d) `x=e^(2/3)`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BANSAL|Exercise All Questions|425 Videos

Similar Questions

Explore conceptually related problems

Maximum value of f(x)= (x-2)^(2) . (x-3) +1 is

The maximum value of f(x)=(x-2)(x-3)^2 is

The maximum value of f(x) = (x -2) (x -3)^(2) is

The maximum value of (log x)/(x) is (a) 1 (b) (2)/(e)(c) e (d) (1)/(e)

The maximum value of x^(4)e^(-x^(2)) is (A) e^(2)(B)e^(-2)(C)12e^(-2)(D)4e^(-2)

If f(x)= e^(coscos^-1x^2+tancot^-1 x^2), then minimum value of f(x) is (A) e (B) e^2 (C) e^(2/3 (D) none of these

The value of int_(1)^(e)(1+x^(2)lnx)/(x+x^(2)lnx)dx

If f(x)=|x-1|+|x-2|-|x-3|, then (a) maximum value of f(x) is 3 if x in[2,3] (b) maximum value of f(x) is -3 if x in[1,3] (c) maximum value of f(x) is -3 if x in[1,2] (d) maximum value of f(x) is 3 if x in[1,3]

If f(x)=|x+1|-2|x-1| then (A) maximum value of f(x) is 2 (C) there is f(x)=2. (B) there are two solutions of f(x)=1 (D) there are two solutions of f(x)=3

Determine the maximum and minimum values of the function f(x) = 2x^(3) - 21 x^(2) + 36x-20

BANSAL-APPLICATION OF DERIVATIVE-All Questions
  1. If the sum of the base 2 logarithms of the roots of the cubic f(x)= ...

    Text Solution

    |

  2. Consider the function f(x)=x^(30)dot(lnx)^20 for x >0 If f is continu...

    Text Solution

    |

  3. Maximum value of f(x)=(lnx)^20.x^30 occurs at x=-2/3 (b) x=1 x=e^(-2...

    Text Solution

    |

  4. Consider the function f(x)a n d\ g(x) such that f(x)=(x^3)/2+1-x\ i...

    Text Solution

    |

  5. consider a function f(x) Minimum distance between the functions f(x)...

    Text Solution

    |

  6. Let f(x) be a real valued continuous function on R defined as f(x)=...

    Text Solution

    |

  7. Consider the function f(x) and g(x) such that f(x)=x^2/2+1-x+intg(x)dx...

    Text Solution

    |

  8. let f(x)=(x^2-1)^n (x^2+x-1) then f(x) has local minimum at x=1 when

    Text Solution

    |

  9. An extremum value of y=int0^x(t-1)(t-2)dt is : 5/6 (b) 2/3 (c) 1 ...

    Text Solution

    |

  10. The function f(x)=int(-1)^x t(e^t-1)(t-1)(t-2)^3(t-3)^5dt has a local ...

    Text Solution

    |

  11. A function f: R->R is such that f^(prime)(x)=0 at x=0\ a n d\ x=...

    Text Solution

    |

  12. The least value of a for which the equation 4/(sinx)+1/(1-sinx)=a ha...

    Text Solution

    |

  13. A closed vessel tapers to a point both at its top E and its bottom ...

    Text Solution

    |

  14. If Rolle's theorems applicable to the function f(x)=ln x/x, (x> 0) ove...

    Text Solution

    |

  15. Let f(x)={x^(3/5),ifxlt=1and (x-2)^3,ifx >1 Then the number of c...

    Text Solution

    |

  16. Number of real solution of the equation, log2^2(x)+(x-1)log2(x)=6-2x, ...

    Text Solution

    |

  17. The number of values of c such that the straight line 3x + 4y = c touc...

    Text Solution

    |

  18. If f(x) =intx^(x^2) (t-1) dt,1 leq x leq 2 then global maximum value ...

    Text Solution

    |

  19. A cubic function f(x) vanishes at x=-2 and has relative minimum/maximu...

    Text Solution

    |

  20. Show that semi-vertical angle of right circular cone of given surfa...

    Text Solution

    |