Home
Class 12
MATHS
Show that the maximum value of the funct...

Show that the maximum value of the function `sqrt2(sin x+ cos x) ` is 2.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Exercise 6g|21 Videos
  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Exercise 6h (multiple Choice Questions)|10 Videos
  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Exercise 6e|16 Videos
  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the maximum value of the function f(x) =sin x + cos x .

Prove that the maximum value of the function sin x+cos x is sqrt(2)

The maximum value of the function 4cos x+3sin x+20

the maximum value of function sin x(1+cos x) is

Integrate the functions sqrt(sin2x)cos2x

what is the maximum value of sin2x cos2x?

Find the maximum and minimum values of the function f(x) = sin x + cos 2x .

The maximum value of function defined as f (x) = sin 2 x + 5 is

The maximum value of the function f(x)=x sin x+cos x-(x^(2))/(4) for x in[-(pi)/(2),(pi)/(2)] is

The function sin(x^(2))+cos sqrt(x) is

NAGEEN PRAKASHAN-APPLICATIONS OF DERIVATIVES-Exercise 6f
  1. Find the values of x for which the following functions are maximum or ...

    Text Solution

    |

  2. Find the maximum or minimum values of the following functions: (i)x^...

    Text Solution

    |

  3. For what values of x, the function f(x) = x^(5)-5x^(4)+5x(3)-1 is maxi...

    Text Solution

    |

  4. Find the maximum and minimum values of the function f(x) = sin x + cos...

    Text Solution

    |

  5. Find the maximum and minimum values of the function f(x) = x+ sin 2x, ...

    Text Solution

    |

  6. Find the maximum and minimum values of the function f(x) = (sin x)/(1+...

    Text Solution

    |

  7. Show that s in^p\ theta\ cos^q\ theta attains a maximum, when theta...

    Text Solution

    |

  8. Find the maximum value of the function (log x)/x " when "x gt 0.

    Text Solution

    |

  9. Find the maximum value of the function x^(1//x).

    Text Solution

    |

  10. Show that the maximum value of (1/x)^x is e^(1/e)dot

    Text Solution

    |

  11. Show that the function x^(3)- 3x^(2)+3x+1 has neither a maxima nor a m...

    Text Solution

    |

  12. Show that f(x)=sinx(1+cosx) is maximum at x=pi/3 in the interval [0,\ ...

    Text Solution

    |

  13. If the function f(x) = x^(3)-24x^(2)+6kx-8 is maximum at x = 2. Then, ...

    Text Solution

    |

  14. Prove that value of the function xy(y-x)=2a^3 is minimum at x=a.

    Text Solution

    |

  15. Show that the function(-x^(2) log x) is minimum at x= 1/sqrte.

    Text Solution

    |

  16. Find the maximum value of the function x * e^(-x).

    Text Solution

    |

  17. Show that the maximum value of the function sqrt2(sin x+ cos x) is 2.

    Text Solution

    |

  18. Show that the maximum and minimum values of the function (x+1)^2/(x+3)...

    Text Solution

    |

  19. If the function y = ae^(x) + bx^(2)+3x is maximum at x = 0 and minimum...

    Text Solution

    |