Home
Class 11
MATHS
At x=0,f(x)=(3-x)e^(2x)-4xe^(x)-x...

At `x=0,f(x)=(3-x)e^(2x)-4xe^(x)-x`

A

Has a minimum

B

Has a maximum

C

Has no extremum

D

Is not defined

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|8 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (MATRIX MATCHING TYPE QUESTIONS)|3 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise Advanced Subjective Type Questions|60 Videos
  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos
  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

If int e^(x)(1+x)*sec^(2)(x e^(x))dx=f(x)+ constant, then f(x)=

int ((1+x)e^(x))/(cos^(2)( xe^(x)))dx=

int (3-x^(2))/(1-2x+x^(2))e^(x)dx=e^(x)f(x)+c rArr f(x)=

Find the value of f(0) so that f(x) = (1)/(x) - (2)/(e^(2x) -1) , x ne 0 is continuous at x = 0 .

Discuss the continulity of f(x) = (e^(1/x) -1)/(e^(1/x) + 1) , x ne 0 and f(0) = 0 at x = 0 .

The function f(x) =(xe^(1//x))/(1+e^(1//x))+sin""1/x" for "x ne 0, f(0)=0" at x=0 is

Let f.g.h be real valued functions defined on the interval [0,1] by f( x) = e^(x^(2)) +e^(-x^(2)) , g (x)= x.e^(x^(2)) +e^(-x^(2)) and h (x) = x^(2) ,e^(x^(2)) +e^(-x^(2)) If a,b,c denote respectively the absolute max. values of f.g.h on [0,1] then

If f: R to R defined by f(x) =(e^(x^(2)) -e^(-x^(2)))/(e^(x^(2)) +e^(-x^(3))) , then f is

AAKASH SERIES-MAXIMA AND MINIMA -LECTURE SHEET (EXERCISE - I ) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The least value of 'a' for which the equation (4)/(sinx)+(1)/(1-sinx)=...

    Text Solution

    |

  2. Minimum value of (Sinx)^(Sinx) is

    Text Solution

    |

  3. The maximum value of sin^(2)xcos^(3)x is

    Text Solution

    |

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

    Text Solution

    |

  5. A cubic function of x has maximum 10 and minimum -5/2, when x = -3 and...

    Text Solution

    |

  6. If xy(y-x)=16 then y has a minimum value when x=

    Text Solution

    |

  7. f(x)=(x-1)(x-2)(x-3) is minimum at x=

    Text Solution

    |

  8. Maximum value of (x+5)^(4)(13-x)^(5) is

    Text Solution

    |

  9. At x=0,f(x)=(3-x)e^(2x)-4xe^(x)-x

    Text Solution

    |

  10. Minimum value of f(x)=(x-1)^(2)+(x-2)^(2)+..+(x-10)^(2) occurs at x=

    Text Solution

    |

  11. The minimum value of f(x)=2^((log(8)^(3))cos^(2)x)+3^((log(8)^(2))sin^...

    Text Solution

    |

  12. If f(x)={{:(|x|,"if", 0 lt |x| le2),(1,"if", x=0):} then at x=0 has

    Text Solution

    |

  13. If x is real, then the minimum value of y=(x^(2)-x+1)/(x^(2)+x+1) is

    Text Solution

    |

  14. For a gt 0, if the function f(x)=2 x^(3) - 9 a x^(2) + 12 a^(2) x + 1...

    Text Solution

    |

  15. The maximum value of f(x)=(x)/(1+4x+x^(2)) is

    Text Solution

    |

  16. If f(x)=(t+3x-x^(2))/(x-4), where t is a parameter that has a minimum...

    Text Solution

    |

  17. The value of 'a' for which the function f(x) =a sin x+1/3 sin 3x has a...

    Text Solution

    |

  18. Let a, b in R be such that the function f given by f(x)= ln |x|+bx^(2)...

    Text Solution

    |

  19. Let f be a function defined by f(x)={{:((tanx)/(x)",",x ne0),(1",",x=0...

    Text Solution

    |

  20. Let f:(-oo,oo)to(-oo,oo) be defined by f(x)=x^(3)+1 Statement - ...

    Text Solution

    |