Home
Class 12
MATHS
It is given that the Rolles theorem h...

It is given that the Rolles theorem holds for the function `f(x)=x^3+b x^2+c x ,\ \ x in [1,2]` at the point `x=4/3` . Find the values of `b` and `c` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MEAN AND VARIANCE OF A RANDOM VARIABLE

    RD SHARMA ENGLISH|Exercise All Questions|125 Videos

  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|449 Videos

Similar Questions

Explore conceptually related problems

It is given that the Rolles' theorem holds for the function f(x)=x^3+b x^2+c x ,x in [1,2] at the point x=4/3dot Find the values of b and c

Verify Rolle's theorem for the function f(x)=x^2+2x-8, x in [-4,2] .

Verify Rolles theorem for the function f(x)=x(x-3)^2,\ 0lt=xlt=3 .

Verify Rolle's theorem for the function f(x)=\ x^2-5x+6 on [2, 3].

Verify Rolle's theorem for the function f(x) = x^(2) +x-6 in the interval [-3,2]

Verify Rolles theorem for the function f(x)=x^3-6x^2+11 x-6 on the interval [1, 3].

Verify Rolles theorem for function f(x)=x^2-4x+3 on [1,\ 3]

Verify Rolle's theorem for the function f(x) = x^(3) - 9x^(2) + 26x -24 in the interval [2.4]

Verify Rolls theorem for the function f(x)=x^3-6x^2+11 x-6 on the interval [1,3] .

Verify Rolles theorem for function f(x)=(x-1)(x-2)^2 on [1,\ 2]

RD SHARMA ENGLISH-MEAN VALUE THEOREMS-All Questions
  1. If f:[-5,\ 5]->R is differentiable and if f^(prime)(x) doesnt vanis...

    Text Solution

    |

  2. Examine if Rolle's theorem is applicable to any one of the following...

    Text Solution

    |

  3. It is given that the Rolles theorem holds for the function f(x)=x^3...

    Text Solution

    |

  4. Verify lagranges mean value theorem for the function f(x)=(x-3)(x-6)...

    Text Solution

    |

  5. Verify Lagranges mean value theorem for f(x)=x(x-1) on [1,\ 2] on th...

    Text Solution

    |

  6. Verify Lagranges mean value theorem for f(x)=x(x-1)(x-2) on [0,\ 1/2...

    Text Solution

    |

  7. Find the derivative of y=sqrt(x-2) with respect to x

    Text Solution

    |

  8. Verify Lagranges mean value theorem for f(x)=x-2sinx on [-pi,\ pi]

    Text Solution

    |

  9. Verify Lagranges mean value theorem for f(x)=2sinx+sin2x on [0,\ pi...

    Text Solution

    |

  10. Find the second order derivative of f(x)=log x with respect to x

    Text Solution

    |

  11. Find the second order derivative of tanx with respect to x

    Text Solution

    |

  12. Find the derivative of cos (x + y) = y with respect to x .

    Text Solution

    |

  13. Find the derivative of sin(x +y) = 80 with respect to x

    Text Solution

    |

  14. Find the derivative of cot( x+ y ) = xy with respect to x .

    Text Solution

    |

  15. Find the second order derivative of y = sinx + cosx with respect t...

    Text Solution

    |

  16. Find the derivative of tanxy = sinx with respect to x .

    Text Solution

    |

  17. Find the second order derivative for function f(x)=x^2-1 with respect ...

    Text Solution

    |

  18. Find the derivative for function f(x)=x^3-2x^2-x+3 with respect to x

    Text Solution

    |

  19. Find the derivative for function f(x)=x(x-1) with respect to x

    Text Solution

    |

  20. Find the derivative for function f(x)=x^2-3x+2 with respect to x

    Text Solution

    |