Home
Class 12
MATHS
Let f(x)={(2-|x^2+5x+6|,x!=-2),(a^2+1,x=...

Let `f(x)={(2-|x^2+5x+6|,x!=-2),(a^2+1,x=-2):}` then value of 'a' so that f(x) has a maximum at `x=-2` is

A

`ain(-1,1)`

B

`ain[-1,1]`

C

`ain(1,oo)`

D

`ain(-oo,1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

Let f(x)={(|x-2|+a^2-9a-9 ,ifx lt 2, 2x-3 ,ifx ge 2:} Then find value of 'a' for which f(x) has local minima at x= 2

Let f(x)={x^3-x^2+10 x-5,xlt=1, \ -2x+(log)_2(b^2-2),x >1 Find the values of b for which f(x) has the greatest value at x=1.

If y=f(x)=(2x+3)/(5x-a) , then determine the value of a so that x = f(y).

Let f(x)=(bx+a)/(x+1), lim_(x to 0)f(x)=2 then the value of a is .

If 3f(x) +2f (-x) =5 (x-2) then the value fo f(1) is-

Let f(x)={(absx, "for",0ltabsxlt=2),(1, "for",x=0):} Then ,at x = 0, f(x) has

Let a, binR be such that the function f given by f(x)=ln|x|+bx^2+ax,xne0 has extreme values at x = -1 and x = 2 Statement 1:f has local maximum ar x=-1 and x=2. Statement 2: a=1/2 and b=1/4

Let f(x)={ f(x={(x^3-3x+2, xlt2),(x^3-6x^2+9x+2, xge2):} Then

If f (x-2) =2x ^(2) +3x -5, then the value of f(2) is-

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

PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. If f(x)=|x|+|x-1|+|x-2|, then

    Text Solution

    |

  2. Let f(x) be a function defined as f(x)= {(sin(x^2-3x),xle0),(6x+5x^2,x...

    Text Solution

    |

  3. Let f(x)={(2-|x^2+5x+6|,x!=-2),(a^2+1,x=-2):} then value of 'a' so tha...

    Text Solution

    |

  4. Let f(x)={(|x^2-2|,-1lexltsqrt3),(x/sqrt3,sqrt3lexlt2sqrt3),(3-x,2sqrt...

    Text Solution

    |

  5. The minimum value of atan^2x+bcot^2x equals the maximum value of asin^...

    Text Solution

    |

  6. All the possible values of the paramter 'a' so that the function ,f(x)...

    Text Solution

    |

  7. The equation of the tangent to the curve y={(x^2sin"1/x,xne0),(0,x=0):...

    Text Solution

    |

  8. The equation of the normal to the curve y=e^(-2|x| at the point where ...

    Text Solution

    |

  9. If the tangent to the curve 2y^3=ax^2+x^3 at the point (a,a) cuts off ...

    Text Solution

    |

  10. At the point P(a,a^n) on the graph of y=x^n(ninN) in the first quadran...

    Text Solution

    |

  11. The point (s) on the curve y^3+3x^2=12y where line tangent is vertical...

    Text Solution

    |

  12. The area of the triangle formed by the positive x-axis, and the normal...

    Text Solution

    |

  13. The function f satisfying (f(b)-f(a))/(b-a)nef'(x) for any "x"in(a,b) ...

    Text Solution

    |

  14. Suppose that f is differntiable for all x such that f'(x)le2 for all x...

    Text Solution

    |

  15. f(x) is a polynomial of degree 4 with real coefficients such that f(x)...

    Text Solution

    |

  16. If f(x) is differentiable and strictly increasing function, then the v...

    Text Solution

    |

  17. Let f(x)=max{sinx,cosx}AA"x"inR then number of critical points of f(x)...

    Text Solution

    |

  18. If f(x) and g(x) are differentiable functions for 0lexle1 such that f(...

    Text Solution

    |

  19. The number of distinct real root of x^3-3x+1=0 in (1,2) is

    Text Solution

    |

  20. If |f(x2)-f(x1)|le(x2-x1)^2AAx1,x2inR, then the equation of tangent to...

    Text Solution

    |