Home
Class 12
MATHS
The minimum value of f(x)=e^((x^4-x^3+x^...

The minimum value of `f(x)=e^((x^4-x^3+x^2))` is

A

e

B

`e^2`

C

1

D

`e^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    OBJECTIVE RD SHARMA|Exercise Exercise|50 Videos

  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA|Exercise Chapter Test|20 Videos

  • MEASURES OF CENTRAL TENDENCY

    OBJECTIVE RD SHARMA|Exercise Chapter Test|21 Videos

Similar Questions

Explore conceptually related problems

The minimum value of f(x)=|x+2|

The minimum value of 4e^(x)+9e^(-x) is

Write the minimum value of f(x)=x^(x)

The minimum value of f(x)=x+(4)/(x+2) is

Minimum value of f(x)=4x^(3)-12x^(2)-36x is

The minimum value of function f(x)=3x^4-8x^3+12x^2-48x+25 on [0,3] is equal to

Local minimum value of f(x)=x^(3)-3x^(2)-24x+5 is a) 33 b) -75 c) -2 d) 4

The minimum value of 4e ^(2x) + 9e^(-2x) is

OBJECTIVE RD SHARMA-MAXIMA AND MINIMA -Chapter Test
  1. The maximum valu of the function f(x) given by f(x)=x(x-1)^2,0ltxlt2...

    Text Solution

    |

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

    Text Solution

    |

  3. The minimum value of f(x)=e^((x^4-x^3+x^2)) is

    Text Solution

    |

  4. If the function f(x)=a/x+x^2 has a maximum at x=-3 then a=

    Text Solution

    |

  5. Find the maximum value of 4sin^2x+3cos^2+sinx/2+cosx/2dot

    Text Solution

    |

  6. The least value of the f(x) given by f(x)=tan^(-1)x-1/2 logex " in t...

    Text Solution

    |

  7. The slope of the tangent to the curve y=e^x cosx is minimum at x= a,0 ...

    Text Solution

    |

  8. The value of a for which the function f(x)={{:(tan^(-1)a -3x^2" , " ...

    Text Solution

    |

  9. The minimum value of 27^(cos3x)81^(sin3x) is

    Text Solution

    |

  10. If f(x)=(x^2-1)/(x^2+1) , for every real x , then the maximum value o...

    Text Solution

    |

  11. f(x) = |x|+|x-1| +|x-2|, then which one of the following is not correc...

    Text Solution

    |

  12. The maximum value of f(x)=(logx)/(x)(x ne 0, x ne1) is

    Text Solution

    |

  13. The function f(x)=2x^(3)-3x^(2)-12x-4 has

    Text Solution

    |

  14. In (-4,4) the function f(x)=int(-10)^x (t^2-4)e^(-4t) dt , has

    Text Solution

    |

  15. On [1,e] the gratest value of x^2logex, is

    Text Solution

    |

  16. Let f(x)={x+2,-1lelt0 1,x=0 (x)/(2),0ltxle1

    Text Solution

    |

  17. If f(x)=(x^2-1)/(x^2+1) , for every real x , then the maximum value o...

    Text Solution

    |

  18. The function f:R rarr R be defined by f(x)=2x+cosx then f

    Text Solution

    |

  19. The maximum distance from origin of a point on the curve x=asint-bsin(...

    Text Solution

    |

  20. The maximum value of x^(1//x) is

    Text Solution

    |