Home
Class 12
MATHS
If f(x) = a In x + bx^2 + x has extreme ...

If f(x) = a In `x + bx^2 + x` has extreme values at `x= - 1` and `x = 2` then find a and b.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    SHARAM PUBLICATION|Exercise EXAMPLE|17 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    SHARAM PUBLICATION|Exercise EXAMPLE|156 Videos

Similar Questions

Explore conceptually related problems

Test the function f(x) = x^(5) for extreme values.

Find the extreme values of y = cos x(1+sin x), x in [0,2pi]

Let f(x) = a/x+x^2 . If it has a maximum at x =-3, then find the value of a.

If f(x)={(ax^2+b if x lt1),(1 if x=1),(2ax-b if xgt1):} is continuous at x=1, then find a and b.

Find the extreme values of the function y = X + 1/x .

f(x) = x^4-63x^2+ax+9 attains its maximum value at x=1 in the interval [0,2]. Find the value of 'a'.

If f(x) = sinx and g(x) = x^3 then find the value of[f (x).g (x)]^III at x=(pi)/2 .

SHARAM PUBLICATION-APPLICATIONS OF DERIVATIVES-EXAMPLE
  1. Find the altitude of a right circular cylinder of maximum volume inscr...

    Text Solution

    |

  2. Find the coordinates of the point on the curve x^2y - x + y = 0 wher...

    Text Solution

    |

  3. Find two numbers x and y whose sum is 15 such that xy^2 is maximum.

    Text Solution

    |

  4. Find the values of x for which f(x) = x^4+2x^3-2x^2-6x+5 is locally ma...

    Text Solution

    |

  5. Find the interval where y=sinx-cosx x in [0,2pi] is increasing.

    Text Solution

    |

  6. Find the maximum value of y=(1+cosx) sinx,xepsilon[0,(3pi)/(4)]

    Text Solution

    |

  7. Obtain the extreme point of f(x) = e^x (x^2-6x +9). As certain whether...

    Text Solution

    |

  8. Find the maximum of the function f(x)=(1/x)^x

    Text Solution

    |

  9. If a is positive, find the minimum value of(a+x)/sqrt(ax).

    Text Solution

    |

  10. Use the function f(x) = x^(1//x), x gt 0 to show that e^(pi) gt pi^(e)...

    Text Solution

    |

  11. Mention the values of x for which the function f(x)= x^2 - 12x is incr...

    Text Solution

    |

  12. Find the interval for which the function f(x) = tanx- 4 (x- 2) is incr...

    Text Solution

    |

  13. What is thevalue of a for which the function f(x) = a sin x + 1/3sin 3...

    Text Solution

    |

  14. What is the maximum value of the function f(x)=sinx(1 + cos x) ?

    Text Solution

    |

  15. If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...

    Text Solution

    |

  16. Find the coordinates of a point on the parabola y^2 = 8x which is at m...

    Text Solution

    |

  17. Find the difference between the greatest and least values of the funct...

    Text Solution

    |

  18. If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...

    Text Solution

    |

  19. Find the approximate value of (26.9)^(1/3)

    Text Solution

    |

  20. Discuss the extreme value of the function y=(x+2)^4(x-1)^5

    Text Solution

    |