Home
Class 11
MATHS
Let f(x)=(x-1)(x-2)(x-3) then prove that...

Let `f(x)=(x-1)(x-2)(x-3)` then prove that there is more than one 'c' in (1,3) such that `f'(c )=0`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(a)|16 Videos
  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(b)|28 Videos
  • ADDITION OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise - 4 (b) |11 Videos
  • DIFFERENTIATION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-9(d)|15 Videos

Similar Questions

Explore conceptually related problems

Let f(x ) = (x - 1)(x - 2)(x -3). Prove that there is more than one ‘c’ in (1,3) such that f ’(c) = 0

Let f(x) and g(x) be differentiable functions for 0 le x le 1 such that f(0) = 2, g(0) = 0, f(1) = 6 . Let there exist a real number c in (0,1) such that f ’(c) = 2 g ’(c), then g(1) =

Suppose f(x) = x(x+3)(x-2), x in [-1, 4] . Then a value of c in (-1, 4) satisfying f'(c ) = 10 is

Suppose f(x)=x(x+3)(x-2),x in [-1,4] . Then a value of c in (-1,4) satisfying f' ( c) = 10 is .

If f(x)= 2x^2+3x+5 , then prove that f'(0)+3f'(-1)=0

Let Q(x)=f(x)+f(1-x) and f''(x)lt0 for 0ltxlt1 then on (0,1/2)

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-APPLICATION OF DERIVATIVES-Exercise-10(h)
  1. Let f(x)=(x-1)(x-2)(x-3) then prove that there is more than one 'c' in...

    Text Solution

    |

  2. Find the points of local extrema (if any) and local extrema of the fol...

    Text Solution

    |

  3. Find the points of local extrema (if any) and local extrema of the fol...

    Text Solution

    |

  4. Find the points at which the functions f(x) = x^(3) - 6x^(2) + 9x + ...

    Text Solution

    |

  5. Find the points of local extrema (if any) and local extrema of the fol...

    Text Solution

    |

  6. Find the points of local extrema (if any) and local extrema of the fol...

    Text Solution

    |

  7. Find the points of local extrema (if any) and local extrema of the fol...

    Text Solution

    |

  8. Find the points of local extrema (if any) and local extrema of the fol...

    Text Solution

    |

  9. Find the points of local extrema (if any) and local extrema of the fol...

    Text Solution

    |

  10. Find the points of local extrema (if any) and local extrema of the fol...

    Text Solution

    |

  11. Find the points of local extrema (if any) and local extrema of the fol...

    Text Solution

    |

  12. Prove that the functions do not have maxima or minima: f(x) = e^(x)

    Text Solution

    |

  13. Prove that the functions do not have maxima or minima: g(x) = log ...

    Text Solution

    |

  14. Prove that the following functions do not have absolute maximum and ab...

    Text Solution

    |

  15. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  16. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  17. Find the absolute maximum value and absolute minimum value of the foll...

    Text Solution

    |

  18. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  19. Find the absolute maximum value and absolute minimum value of the foll...

    Text Solution

    |

  20. Use the first derivative test to find the local extrema of f(x) =x^(3)...

    Text Solution

    |

  21. Use the first derivative test to find local extrema of f(x) = x^(2) - ...

    Text Solution

    |