Home
Class 12
MATHS
The maximum value of y=sin ^3 x cos x "a...

The maximum value of `y=sin ^3 x cos x "at" pi//3` is

A

`3sqrt3`

B

3

C

`(3sqrt(3))/(16)`

D

16

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1 (SPECIAL TYPE QUESTIONS)|14 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2 (SPECIAL TYPE QUESTIONS)|11 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

The maximum value of a sin x+b cos x is

The maximum value of sin x cos x is

The maximum value of sin^(2)xcos^(3)x is

The maximum value of sin^(2) x+ 2 sin x +3 is

Maximum value of sin x cos (pi//4-x) is

Maximum value of y=sec x "in" (pi//2,3pi//2) is

Maximum value of sin x cos x is obtained at

The maximum value of sqrt(3) cos x + sin x is

The maximum value of y= (1)/( sin^(6) x + cos^(6) x) is __________

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
  1. Maximum value of y=sec x "in" (pi//2,3pi//2) is

    Text Solution

    |

  2. The maximum value of (sin x )^(sin x) is

    Text Solution

    |

  3. The maximum value of y=sin ^3 x cos x "at" pi//3 is

    Text Solution

    |

  4. The maximum value of a sin x+b cos x is

    Text Solution

    |

  5. The greatest value of f(x) =2x^2+2//x^2 for -2le x lt 0,0 lt x le 2 an...

    Text Solution

    |

  6. The least value of y=(a^2)/x+(b^2)/(1-x) on (0,1) is

    Text Solution

    |

  7. If y=overset(n)underset(i=1)sum(x-xi)^2,xi are constants, then y has m...

    Text Solution

    |

  8. x and y are two + ve numbers sucbs that xy=1 Then the minimum value of...

    Text Solution

    |

  9. If x,y = 12 then the minimum value of x^2+y^2 is

    Text Solution

    |

  10. The greatest value of sin^(3)x+cos^(3)x in [0,(pi)/(2)] is

    Text Solution

    |

  11. The greatest value of xe^(-x) is

    Text Solution

    |

  12. The absolute minimum of y= c cosh (x/c) is

    Text Solution

    |

  13. If a gt b, maximum value of a sin ^2x + b cos ^2 x is

    Text Solution

    |

  14. The minimum value of 27 tan^2 theta+3 cot ^2 theta is

    Text Solution

    |

  15. The minimum value of a^2sec^2theta +b^2 cosec^2 theta is

    Text Solution

    |

  16. The minimum value of 64 sec theta +27 cosec theta where theta lies in ...

    Text Solution

    |

  17. The minimum value of sqrt((e^x"^2)-1) is

    Text Solution

    |

  18. The minimum value of px+qy when xy= r^2 is

    Text Solution

    |

  19. If f(x) =x-k/x has a maximum value at x=-2 , then k=

    Text Solution

    |

  20. If the function f(x) =x^2+alpha//x has a local minimum at x=2 , then t...

    Text Solution

    |