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

  • MODEL QUESTION PAPER-2

    SHARAM PUBLICATION|Exercise EXERCISE|39 Videos

  • MODEL QUESTION PAPER-4

    SHARAM PUBLICATION|Exercise EXERCISE|41 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-MODEL QUESTION PAPER-3-EXERCISE
  1. If sin y = x sin (a + y) then show that (dy)/(dx)=(sin^2(a+y))/(sina)

    Text Solution

    |

  2. Find the equations of the tangent to the curve x = sin 3t, y = cos 2t ...

    Text Solution

    |

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

    Text Solution

    |

  4. Evaluate the following integrals : int(cos^(-1)x)/(sqrt(1-x^(2)))dx.

    Text Solution

    |

  5. Evaluate int(sin x - cos x)dx.

    Text Solution

    |

  6. Prove that int0^(pi/2)lnsinxdx=pi/2ln( 1 /2)

    Text Solution

    |

  7. Determine the area the of the region between the curves y=cos x and y=...

    Text Solution

    |

  8. Solve the differential equation (1+x^2)(dy)/(dx)+y= tan^(-1)x

    Text Solution

    |

  9. Show by vector method that the line joining the points (1, 4, 2) and ...

    Text Solution

    |

  10. Find the co-ordinates of the point where the perpendicular from the or...

    Text Solution

    |

  11. Find the equation of the plane passing through the line x = y = z and ...

    Text Solution

    |

  12. Find the co-ordinates of the point where the (x - 2)/3 = (y+1)/4=(z-2)...

    Text Solution

    |

  13. Show that the relation S defined on set N xx N by (a, b) S(c,d) rArr a...

    Text Solution

    |

  14. Solve for x, "tan"^(-1)((2x)/(1-x^(2)))+""cot"^(-1)((1-x^(2))/(2x))=...

    Text Solution

    |

  15. Find graphically the maximum value of z = 2x + 5y subject to the const...

    Text Solution

    |

  16. Find the values of a and b such that the function f defined by f(x) = ...

    Text Solution

    |

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

    Text Solution

    |

  18. Evaluate int((1+sinx)/(1+cosx))e^(x)dx.

    Text Solution

    |

  19. Evaluate int0^ pi x/(1+ sin x) dx

    Text Solution

    |

  20. Find the solution of the following differential equations: (2x+y+1)dx+...

    Text Solution

    |