Home
Class 12
MATHS
The function f(x)=x(x+3)e^(-(1/2)x) sati...

The function `f(x)=x(x+3)e^(-(1/2)x)` satisfies the conditions of Rolle's theorem in (-3,0). The value of c, is

A

`-2`

B

`-1`

C

0

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise (Multiple)|17 Videos

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise (Comprehension)|13 Videos

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise 5.8|9 Videos

  • 3D COORDINATION SYSTEM

    CENGAGE|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE|Exercise Solved Examples And Exercises|137 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=x^(3)-6x^(2)+ax+b satisfy the conditions of Rolle's theorem in [1,3] .The values of a and b are

The function f(x) =x^(3) - 6x^(2)+ax + b satisfy the conditions of Rolle's theorem on [1,3] which of these are correct ?

The point where the function f(x)=x^(2)-4x+10 on [0,4] satisfies the conditions of Rolle's theorem is

The function f(x)=(x-3)^(2) satisfies all the condition of mean value theorem in [3,4].A point on y=(x-3)^(2), where the tangent is parallel to the chord joining (3,0) and (4.1) is

If f(x)=x^(3)+bx^(2)+ax satisfies the conditions on Rolle's theorem on [1,3] with c=2+(1)/(sqrt(3))

If the function f(x)=ax^(3)+bx^(2)+11x-6 satisfies condition of Rolle's theorem in [1, 3] for x=2+(1)/(sqrt(3)) then value of a and b are respectively (A) 1, -6 (B) 2, -4 (C) 1, 6 (D) None of these.

For which interval,the function (x^(2)-3x)/(x-1) satisfies all the conditions of Rollel's theorem

The polynomial f(x)=x^3-bx^2+cx-4 satisfies the conditions of Rolle's theorem for x in [1,2] , f'(4/3) = 0 the order pair (b,c) is

CENGAGE-APPLICATION OF DERIVATIVES-Exercise (Single)
  1. If there is an error of k % in measuring the edge of a cube, then the ...

    Text Solution

    |

  2. A lamp of negligible height is placed on the ground l1 away from a wal...

    Text Solution

    |

  3. The function f(x)=x(x+3)e^(-(1/2)x) satisfies the conditions of Rolle'...

    Text Solution

    |

  4. The radius of a right circular cylinder increases at the rate of 0.1 ...

    Text Solution

    |

  5. A cube of ice melts without changing its shape at the uniform rate ...

    Text Solution

    |

  6. The radius of the base of a cone is increasing at the rate of 3 cm/min...

    Text Solution

    |

  7. If f(x)=x^3+7x-1, then f(x) has a zero between x=0a n dx=1 . The theor...

    Text Solution

    |

  8. Consider the function f(x)={{:(xsin(pi)/(x),"for"xgt0),(0,"for"x=0):} ...

    Text Solution

    |

  9. Let f(x)a n dg(x) be differentiable for 0lt=xlt=1, such that f(0),g(0)...

    Text Solution

    |

  10. If 3(a+2c)=4(b+3d), then the equation a x^3+b x^2+c x+d=0 will have no...

    Text Solution

    |

  11. A value of c for which the conclusion of Mean value theorem holds for ...

    Text Solution

    |

  12. For f(x)=4x^(3)+3x^(2)-x-1, the range of vaues of (f(x(1))-f(x(2)))/(x...

    Text Solution

    |

  13. Let f(x) be a twice differentiable function for all real values of x a...

    Text Solution

    |

  14. The value of c in Largrange's theorem for the function f(x)= log(e) s...

    Text Solution

    |

  15. In which of the following function Rolle's theorem is applicable ?

    Text Solution

    |

  16. Let f'(x)=e^(x)""^(2)and f(0)=10.If Altf(1)ltB can be concluded from t...

    Text Solution

    |

  17. If f(x) and g(x) are differentiable functions for 0lt=xlt=1 such that ...

    Text Solution

    |

  18. A continuous and differentiable function y=f(x) is such that its graph...

    Text Solution

    |

  19. Given f^(prime)(1)=1 and d/(dx)(f(2x))=f^(prime)(x)AAx > 0.If f^(pri...

    Text Solution

    |

  20. If (x) is differentiable in [a,b] such that f(a)=2,f(b)=6, then there ...

    Text Solution

    |