Home
Class 12
MATHS
Find the extreme points of the following...

Find the extreme points of the following functions. Specify if the extremum is a maximum or minimum. Find the extreme values. `y` =
`4cos2x - 3sin2x,x in (-pi/2, pi/2)`

Text Solution

Verified by Experts

The correct Answer is:
min. at `x = (pi)/(2) - (1)/(2) tan^(-1) ((3)/(4))`, min value = -5 and max. at `x = - (1)/(2) tan^(-1) ((3)/(4))`, max value = 5
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 8 (E))|20 Videos
  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (VERY SHORT ANSWER TYPE QUESTIONS )|12 Videos
  • APPLICATION OF DERIVATIVES

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 8 (C))|14 Videos
  • AREA UNDER PLANE CURVES

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANWER TYPE QUESTIONS)|15 Videos

Similar Questions

Explore conceptually related problems

Find the extreme points of the following functions. Specify if the extremum is a maximum or minimum. Find the extreme values. y = x + 1/x

Find the extreme points of the following functions. Specify if the extremum is a maximum or minimum. Find the extreme values. y = x^2 + 2x +3

Find the extreme points of the following functions. Specify if the extremum is a maximum or minimum. Find the extreme values. y = 5x^2 - 2x^5

Find the extreme points of the following functions. Specify if the extremum is a maximum or minimum. Find the extreme values. y = (x - 1)^3

Find the extreme points of the following functions. Specify if the extremum is a maximum or minimum. Find the extreme values. y = (x - 2)^3 (x +3)^4

Find the extreme points of the following functions. Specify if the extremum is a maximum or minimum. Find the extreme values. y = (3x)/(x^2+1) .

Find the extreme points of the following functions. Specify if the extremum is a maximum or minimum. Find the extreme values. y = sin x cos x,x in [pi/8, pi/2]

ARIHANT PUBLICATION-APPLICATION OF DERIVATIVES -ODISHA BUREAU.S TEXTBOOK SOLUTIONS (EXERCISE 8 (D))
  1. Find the extreme points of the following functions. Specify if the ext...

    Text Solution

    |

  2. Find the extreme points of the following functions. Specify if the ext...

    Text Solution

    |

  3. Find the extreme points of the following functions. Specify if the ext...

    Text Solution

    |

  4. Find the extreme points of the following functions. Specify if the ext...

    Text Solution

    |

  5. Find the extreme points of the following functions. Specify if the ext...

    Text Solution

    |

  6. Find the extreme points of the following functions. Specify if the ext...

    Text Solution

    |

  7. Find the extreme points of the following functions. Specify if the ext...

    Text Solution

    |

  8. Shows that the following functions do not possess maximum or minimum. ...

    Text Solution

    |

  9. Shows that the following functions do not possess maximum or minimum. ...

    Text Solution

    |

  10. Shows that the following functions do not possess maximum or minimum. ...

    Text Solution

    |

  11. Shows that the following functions do not possess maximum or minimum. ...

    Text Solution

    |

  12. Shows that the following functions do not possess maximum or minimum. ...

    Text Solution

    |

  13. Use the function f(x) = x^(1//x), x gt 0 to show that e^(pi) gt pi^(e)...

    Text Solution

    |

  14. Prove the inequality x^2e^(-x^2) le e^(-1),x in R.

    Text Solution

    |

  15. If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...

    Text Solution

    |

  16. Show that x/(1+ x tan x,) x in (0,pi/2)is maximum when x = cos x.

    Text Solution

    |

  17. Determine the absolute maximum and absolute minimum of the following f...

    Text Solution

    |

  18. Find extreme value of f(x).={{:((x)/(1-x^2),-1ltxlt0),(x^3-x,0lexlt2):...

    Text Solution

    |

  19. Find two numbers x and y whose sum is 15 such that xy^2 is maximum.

    Text Solution

    |

  20. If then sum of two positive numbers in constant then show that their p...

    Text Solution

    |