Home
Class 12
MATHS
f(x)=x log x has minimum value ………...

`f(x)=x log x` has minimum value ………

A

1

B

0

C

e

D

`(1)/(e )`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|51 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|24 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|85 Videos

  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos

  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

Similar Questions

Explore conceptually related problems

f(x)=x^(2)+4x+5 has minimum value ………… (x in R)

f(x)=(x-a)^(2)+(x-b)^(2)+(x-c)^(2) has minimum value at x = …………..

Show that the function given by f(x)=(log x)/(x) has maximum at x = e.

Prove that f(x)=sin x+3^(1/2) cos x has maximum value at x=(pi)/(6)

f(x) = 3 cos x + 4 sin x + 8 has minimum value 19.

For all real values of x, the minimum value of f(x)=(1-x+x^(2))/(1+x+x^(2)), AA x in R is ……….

Find local maximum and minimum value of f(x)=sin^(4)x + cos^(4)x, x in[0, (pi)/(2)] .

f(x) is a cubic polynomial x^3 + ax^2+ bx + c such that f(x)=0 has three distinct integral roots and f(g(x)) = 0 does not have real roots, where g(x) = x^2 + 2x - 5, the minimum value of a + b + c is

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
  1. The maximum value of f(x)=5cos x + 12 sin x is ………..

    Text Solution

    |

  2. The minimum value of f(x)=3cos x + 4sin x is ………..

    Text Solution

    |

  3. f(x)=x log x has minimum value ………

    Text Solution

    |

  4. f(x)=sqrt(3)cos x + sin x, x in [0, (pi)/(2)] is maximum for x = …………

    Text Solution

    |

  5. f(x)=(x-a)^(2)+(x-b)^(2)+(x-c)^(2) has minimum value at x = …………..

    Text Solution

    |

  6. f(x)=(x+2)e^(-x) is increasing in ………….

    Text Solution

    |

  7. The measure of the angle of intersection between y^(2)=x and x^(2)=y o...

    Text Solution

    |

  8. The point where normal to y=x^(2)-2x+3 is parallel to Y-axis is ……….

    Text Solution

    |

  9. The slope of normal to (3t^(2)+1, t^(3)-1) at t = 1 is ………….

    Text Solution

    |

  10. The equation of normal to 3x^(2)-y^(2)=8 at (2, -2) is ……..

    Text Solution

    |

  11. The angle made by the tangent with the + ve direction of X-axis to x=e...

    Text Solution

    |

  12. The equation of tangent to y=cos x at (0, 1) is ………..

    Text Solution

    |

  13. The equation of normal to y = sin x at ((pi)/(2),1) is ……….

    Text Solution

    |

  14. Find the points on the curve x^(2)+y^(2)-2x-3=0 at which the tangents ...

    Text Solution

    |

  15. The point on y^(2)=x where tangent makes angle of measure (pi)/(4) wit...

    Text Solution

    |

  16. A cone with its height equal to the diameter of the base is expanding ...

    Text Solution

    |

  17. The rate of increase of f(x)=x^(3)-5x^(2)+5x+25 is twice the rate of i...

    Text Solution

    |

  18. The radius of the cone is increasing at the rate of 4 cm/se. Its heigh...

    Text Solution

    |

  19. The rate of change of surface area of a sphere w.r.t. radius is ………..

    Text Solution

    |

  20. The rate of change of volume of a cylinder w.r.t. radius whose radius ...

    Text Solution

    |