Home
Class 12
MATHS
What is the maximum value of the functio...

What is the maximum value of the function `sinx + cosx`?

Text Solution

Verified by Experts

`f(x)`=`sin(x)+cos(x)`
`f'(x)`=`cos(x)-sin(x)`
`f'(x)`=`0`=> `cos(x)-sin(x)`=`0`
=>`tan(x)`=`1`
...
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT ENGLISH|Exercise EXERCISE 6.1|18 Videos
  • APPLICATION OF DERIVATIVES

    NCERT ENGLISH|Exercise EXERCISE 6.2|19 Videos
  • APPLICATION OF DERIVATIVES

    NCERT ENGLISH|Exercise EXERCISE 6.4|9 Videos
  • APPLICATION OF INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 8.2|7 Videos

Similar Questions

Explore conceptually related problems

Find the maximum value of sinx.cosx

Find the minimum value of the function f(x)=(1+sinx)(1+cosx),AAx inR .

The sum of the maximum and minimum values of the function f(x)=1/(1+(2cosx-4sinx)^2)i s

The extremum values of the function f(x)=1/(sinx+ 4)-1/ (cosx-4) , where x in R

Show that The maximum value of sinx. cosx in R is 1/2

Integrate the functions e^x(sinx+cosx)

Integrate the functions (sinx)/(1+cosx)

What is the period of the graph of the function y=(sinx)/(1+cosx) ?

The minimum value of 2^sinx+2^cosx

Maximum value of cosx (sinx +cos x) is equal to :

NCERT ENGLISH-APPLICATION OF DERIVATIVES-EXERCISE 6.5
  1. Find the maximum and minimum values of f(x)=x+sin2x in the interval...

    Text Solution

    |

  2. It is given that at x=1 , the function x^4-62 x^2+a x+9 attains its ma...

    Text Solution

    |

  3. Find the maximum value of 2x^3-24 x+107in the interval [1, 3]. Find t...

    Text Solution

    |

  4. Find the maximum and minimum values , if any , of the function f given...

    Text Solution

    |

  5. Find the maximum and minimum values, if any, of the following functio...

    Text Solution

    |

  6. Find the points of local maxima or local minima, if any, of the fol...

    Text Solution

    |

  7. Prove that the following functions do not have maxima or minima: (i)...

    Text Solution

    |

  8. Find the absolute maximum value and the absolute minimum value of f...

    Text Solution

    |

  9. Find the maximum profit that a company can make, if the profit functi...

    Text Solution

    |

  10. Find the maximum value and the minimum value and the minimum value of ...

    Text Solution

    |

  11. At what points in the interval [0,2pi], does the function sin 2x attai...

    Text Solution

    |

  12. What is the maximum value of the function sinx + cosx?

    Text Solution

    |

  13. A rectangular sheet of tin 45 cm by 24 cm is to be made into a box wit...

    Text Solution

    |

  14. A wire of length 28 m is to be cut into two pieces. One of the pieces...

    Text Solution

    |

  15. Prove that the volume of the largest cone, that can be inscribed in...

    Text Solution

    |

  16. Show that the height of a closed right circular cylinder of given s...

    Text Solution

    |

  17. Of all the closed cylindrical cans (right circular), of a given volum...

    Text Solution

    |

  18. Show that semi-vertical angle of right circular cone of given total su...

    Text Solution

    |

  19. The point on the curve x^(2) = 2y which is nearest to the point (0, 5...

    Text Solution

    |

  20. Show that the right-circular cone of least curved surface and given...

    Text Solution

    |