Home
Class 12
MATHS
Find the least value of a such that the ...

Find the least value of `a` such that the function `f` given by `f(x)=x^2+a x+1` is strictly increasing on `(1,2)`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    V PUBLICATION|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

Find the least value of a such that the function f given by f(x)=x^2+ax+1 is strictly increasing on (1,2)

Show that the function given by f(x)=e^(2x) is strictly increasing on R.

Show that the function given by f(x)=3x+17 is strictly increasing on R.

Show that the function given by f(x)=7 x-3 is strictly increasing on R

Show that the function given by f(x)=sinx is strictly increasing on (0,pi/2)

Show that the function F given by f(x)=x^3-3x^2+4x,x in R is strictly increasing

Prove that the function f given by f(x)=x^2-x+1 is neither strictly increasing nor strictly decreasing on (-1,1)

Find the intervals in which the function f given by f(x)=2x^2-3x is strictly increasing

Find the intervals in which the function f given by f(x)=x^2-6x+5 is Strictly increasing.

Find the intervals in which the function f given by f(x)=x^2-6x+5 is Strictly increasing.

V PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Which of the following functions are strictly decreasing on '(0, pi/2)...

    Text Solution

    |

  2. On which of the following intervals is the function f given by f(x)=x^...

    Text Solution

    |

  3. Find the least value of a such that the function f given by f(x)=x^2+a...

    Text Solution

    |

  4. Let I be any interval disjoint from (-1,1) Prove that the function f g...

    Text Solution

    |

  5. Prove that the function f(x)=logsinx is strictly increasing in (0,pi/2...

    Text Solution

    |

  6. Prove that the function f given by f(x)=log cos x is strictly decreasi...

    Text Solution

    |

  7. Prove that the function given by f(x)=x^3-3x^2+3x-100 in increasing in...

    Text Solution

    |

  8. The interval in which y=x^2e^(-x) is increasing is a) (0,2) b) (-2,0) ...

    Text Solution

    |

  9. Find the slope of the tangent to the curve 'y=x^3-x' at 'x=2'.

    Text Solution

    |

  10. Find the point at which the tangent to the curve y=sqrt(4 x-3)-1 has i...

    Text Solution

    |

  11. Find the equation of all lines having slope 2 and being tangent to the...

    Text Solution

    |

  12. Find points on the curve x^2/4+y^2/25=1 at which the tangents are para...

    Text Solution

    |

  13. Find the equation of the tangent to the curve y=(x-7)/((x-2)(x-3)) at ...

    Text Solution

    |

  14. Find the equation of the tangent to the curve x^(2/3)+y^(2/3)=2 at (1,...

    Text Solution

    |

  15. Find the equation of tangent to the curve given by x=asin^3t,y=bcos^3t...

    Text Solution

    |

  16. Find the slope of the tangent to the curve y=3x^4-4x" at "x=4

    Text Solution

    |

  17. Find the slope of the tangent to the curve. y=(x-1)/(x-2),xne2 at x=...

    Text Solution

    |

  18. Find the slope of the tangent to curve y=x^3-x+1 at the point whose x...

    Text Solution

    |

  19. Find the slope of the tangent to the curve y=x^3-3x+2 at the point w...

    Text Solution

    |

  20. Find the slope of the normal to the curve x=acos^3theta,y=asin^3theta"...

    Text Solution

    |