Home
Class 12
MATHS
Find the critical points of each of the ...

Find the critical points of each of the following functions :
`sin2x-x(-(pi)/(2)lexle(pi)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
Max at `x=-(pi)/(6)` and Min at `x=-(pi)/(6)`
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise EXERCISE Long Answer Type Questions|38 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination A|5 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise EXERCISE Very Short Answer Type Questions|20 Videos
  • MATHEMATICAL REASONING

    CHHAYA PUBLICATION|Exercise JEE Main (AIEEE) Archive (2016 )|1 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

Similar Questions

Explore conceptually related problems

Find the critical points of each of the following functions : f(x)=(a^(2))/(x)+(b^(2))/(a-x)

Find the domain of definitions of each of the following functions : sin^(-1)2x

Find the domain of definitions of each of the following functions : f(x)=(sqrt(4-x^(2)))/(sin^(-1)(2-x))

Find the ranges of the following functions : y=sqrt(4-x^2)[-2lexle2]

Prove that each of the following functions is strictly decreasing phi(x) = sin x(pi/2 le x le pi)

Find the differential coefficients of the following functions w.r.t. x: log(1+sin 2x)+2log sec((pi)/(4)-x)

The critical points of the function f(x)=|x-1|/x^2 are

Show that each of the following functions is strictly increasing phi(x) = sin x(0 le x le pi/2)

Investigate the increasing or decreasing behaviour of the following function : f(x)= sin^3x-3sin^2x-5,x in ((-pi)/2,pi/2)

CHHAYA PUBLICATION-MAXIMA AND MINIMA -EXERCISE Short Answer Type Questions
  1. If 2x+3y=4 , find the maximum or minimum value of xy.

    Text Solution

    |

  2. Show that , the difference between the maximum and minimum values of ...

    Text Solution

    |

  3. Find the critical points of each of the following functions : sin2...

    Text Solution

    |

  4. Find the critical points of each of the following functions : y=e^(...

    Text Solution

    |

  5. Find the critical points of each of the following functions : f(x)=...

    Text Solution

    |

  6. The perimeter of a rectangle is 100 cm. If the area of the rectangle ...

    Text Solution

    |

  7. Show that , of all rectangles of given permeter , the square has the g...

    Text Solution

    |

  8. Prove that , of all rectangles of given area , the square has the leas...

    Text Solution

    |

  9. Find the dimensions of the rectangle of maximum perimeter that can be ...

    Text Solution

    |

  10. The perimeter of a triangle is 8 cm .If one of the sides is 3 cm , fin...

    Text Solution

    |

  11. A printed page is to contain 96cm^(2) of printed area , a margin of 1....

    Text Solution

    |

  12. The height of a particle projected with velocity u at an angle alpha ...

    Text Solution

    |

  13. What will be the radius of the base of a solid circular cylinder of vo...

    Text Solution

    |

  14. The function f(x)=4x^(3)+ax^(2)+bx+2 has an extremum at (2,-2) , find...

    Text Solution

    |

  15. The cost c of manufacturing a certain article is given by the formula...

    Text Solution

    |

  16. Determine when will the function sin3x-3sinx will be greatest or least...

    Text Solution

    |

  17. Obtain the maximum and minimum values of the function cos^(2)x+cosx+3 ...

    Text Solution

    |

  18. Find the maximum and minimum values of : 3cosx+4sinx

    Text Solution

    |

  19. Find the maximum and minimum values of : cos^(2)x-cosx(0lexle(pi)...

    Text Solution

    |

  20. Find the maximum and minimum values of : sinx+cos^(2)x((pi)/(2)lt...

    Text Solution

    |