Home
Class 12
MATHS
The function f(x) = sin^3 x-m sin x is d...

The function `f(x) = sin^3 x-m sin x` is defined on open interval `(-pi/2,pi/2)` and if assumes only 1 maximum value and only 1 minimum value on this interval. Then, which one of the must be correct?

A

`0lt m lt 3`

B

`-3 lt m lt 0`

C

`m gt 3`

D

`m lt -3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    VK JAISWAL|Exercise EXERCISE (ONE OR MORE THAN ANSWER IS/ARE CORRECT )|29 Videos

  • APPLICATION OF DERIVATIVES

    VK JAISWAL|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|16 Videos

  • AREA UNDER CURVES

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|8 Videos

Similar Questions

Explore conceptually related problems

The function sin^(-1)sqrt(x) is defined in the interval

Find the maximum and minimum values of f(x)=sin x in the interval [pi,2 pi].

Find the maximum and minimum values of f(x)=x+sin2x in the interval [0,2 pi]

The maximum value of f(x) =2 sin x + sin 2x , in the interval [0, (3)/(2)pi] is

The function f(x) = a sin x + 1/3 sin 3x has maximum value at x = pi/3 , the value of a is

The number of solution of sinx+sin3x+sin5x=0 in the interval {:[(pi)/(2)","3(pi)/(2)]:} is

Find the maximum and minimum values of f(x)=2x^(3)-24x+107 in the interval [1,3]

VK JAISWAL-APPLICATION OF DERIVATIVES -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. The function f(x) = sin^3 x-m sin x is defined on open interval (-pi/2...

    Text Solution

    |

  2. A conical vessel is to be prepared out of a circular sheet of metal of...

    Text Solution

    |

  3. On [1,e], then least and greatest vlaues of f (x) = x^(2)ln x are m a...

    Text Solution

    |

  4. If f (x)= (px)/(e ^(x)) - (x ^(2))/(2) + x is a decreasing function f...

    Text Solution

    |

  5. Let f (x)= {{:( xe ^(ax)"," , x le 0),( x+ ax ^(2)-x ^(3)"," , x gt 0)...

    Text Solution

    |

  6. Find sum of all possible values of the real parameter 'b' is the diffe...

    Text Solution

    |

  7. Let 'theta' be the angle in radians between the curves (x ^(2))/(36) +...

    Text Solution

    |

  8. Let set of all possible values of lamda such that f (x)= e ^(2x) - (la...

    Text Solution

    |

  9. Let a,b,c and d be non-negative real number such that a ^(5)+b^(5) le ...

    Text Solution

    |

  10. There is a point (p,q) on the graph of f(x)=x^2 and a point (r , s) on...

    Text Solution

    |

  11. f (x)= max |2 sin y-x| where y in R then determine the minimum value o...

    Text Solution

    |

  12. Let f (x) = int (0)^(x) ((a -1) (t ^(2)+t+1)^(2) -(a+1)(t^(4)+t ^(2) +...

    Text Solution

    |

  13. The numbr of real roots of the equation x ^(2013)+ e ^(20144x) =0 is

    Text Solution

    |

  14. Let the maximum value of expression y= (x ^(4)-x ^(2))/(x ^(6) + 2x ^(...

    Text Solution

    |

  15. The least positive integral value of 'k' for which there exists at lea...

    Text Solution

    |

  16. Let f (x) =x ^(2) +2x -t ^(2) and f(x)=0 has two root alpha (t ) and b...

    Text Solution

    |

  17. A tank contains 100 litres of fresh water. A solution containing 1 gm/...

    Text Solution

    |

  18. If f (x) is continous and differentiable in [3,9) and f'(x) in [-2,8] ...

    Text Solution

    |

  19. It is given that f 9x) is difined on R satisfyinf f (1)=1 and for AA ...

    Text Solution

    |

  20. The number of normals to the curve 3y ^(3) =4x which passes through th...

    Text Solution

    |

  21. Find the number of real root (s) of the equation ae ^(x) =1+ x + (x ^(...

    Text Solution

    |