Home
Class 12
MATHS
The range of values of a for which th...

The range of values of a for which the function `f(x)={-x^3+cos^(-1)a ,\ 0lt=x<1x ,\ \ \ \ 1lt=xlt=3` has the smallest value at `x=1,` is `[cos2,\ 1]` (b) `[-1,cos2]` `[0,\ 1]` (d) `[-1,\ 1]`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BANSAL|Exercise All Questions|425 Videos

Similar Questions

Explore conceptually related problems

Range of the function f(x)= x cos( 1/x), xgt1

Find the value of x for which the function f(x)=1+2sin x+3cos^(2)x(0<=x<=(2 pi)/(3)) ) is maximum.Also find these values of the function.

Find the range of function f(x)=1+3cos2x

The value of k (k lt 0) for which the function ? defined as f(x) ={((1-cos kx)/(x sin x),","x ne 0),((1)/(2),","x=0):} is continuous at ? = 0 is:

Range of the function f(x)=3^(x)+3^(x-2)+1 is

The range of the function f(x)=9^(x)-3^(x)+1 is

Number of integral values in the range of the function f(x)=cot^(-1)x+(1)/(2)cos^(-1)x is

Range of the function f(x)=(cos^(-1)abs(1-x^(2))) is

Find the range of the function f(x)=(sin^(-1)x)^3+(cos^(-1)x)^3dot

The least integral value of m, m inR for which the range of function f (x) =(x+m)/(x^(2) +1) contains the interval [0,1] is :

BANSAL-APPLICATION OF DERIVATIVE-All Questions
  1. Which of the following statement is/are always true concerning the f...

    Text Solution

    |

  2. IfM(xo,yo) is the point on the curve 3x^2-4y^2=72 which is nearest to ...

    Text Solution

    |

  3. The range of values of a for which the function f(x)={-x^3+cos^(-1...

    Text Solution

    |

  4. If f(x)=int0^1e^|t-x|dt where (0<=x<=1), then maximum value of f(x) is

    Text Solution

    |

  5. suppose x1, and x2 are the point of maximum and the point of minimum r...

    Text Solution

    |

  6. The minimum value of the function f(x) =tan(x +pi/6)/tanx is:

    Text Solution

    |

  7. The set of values of p for which the points of extremum of the functio...

    Text Solution

    |

  8. The difference between the greatest and the least value of f(x)=cos...

    Text Solution

    |

  9. Statement 1: For all a ,b in R , the function f(x)=3x^4-4x^3+6x^2+a x...

    Text Solution

    |

  10. If the equation x^3-12 x+a=0 has exactly one real root, then range ...

    Text Solution

    |

  11. The set of values of p for which the points of extremum of the functio...

    Text Solution

    |

  12. Let S be the set of all x such that x^4-10 x^2+9lt=0 . The maximum val...

    Text Solution

    |

  13. The lower corner of a leaf in a book is folded over so as to reach the...

    Text Solution

    |

  14. P is a point on positive x-axis, Q is a point on the positive y-...

    Text Solution

    |

  15. Consider the cubic f(x)=8x^3+4a x^2+2b x+a where a , b\ in Rdot For...

    Text Solution

    |

  16. For b=1,\ if y=f(x)=8x^3+4x^2+2bx+1 is non monotonic then the sum o...

    Text Solution

    |

  17. If the sum of the base 2 logarithms of the roots of the cubic f(x)= ...

    Text Solution

    |

  18. Consider the function f(x)=x^(30)dot(lnx)^20 for x >0 If f is continu...

    Text Solution

    |

  19. Maximum value of f(x)=(lnx)^20.x^30 occurs at x=-2/3 (b) x=1 x=e^(-2...

    Text Solution

    |

  20. Consider the function f(x)a n d\ g(x) such that f(x)=(x^3)/2+1-x\ i...

    Text Solution

    |