Home
Class 12
MATHS
The function f(x)=tan^(-1)(sinx+cosx) is...

The function `f(x)=tan^(-1)(sinx+cosx)` is an increasing function in

A

`(pi/4,pi/2)`

B

`(-pi/2,pi/4)`

C

`(0,pi/2)`

D

`(-pi/2,pi/2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|129 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=tan^(-1)(tan x) is

f(x) = e^(sinx+cosx) is an increasing function in

The function f(x)=sin^(-1)(sinx) , is

The function f(x)=sin^(-1)(cosx) is

The function f(x)=tan^(-1)x-In(1+x^(2)) is increasing for

f(x)=tan^(-1)(sinx+cosx), x gt0 is always and increasing function on the interval

f(x)=tan^(-1)(sinx+cosx),"then "f(x) is increasing in

Show that the function f(x) = x + cosx - a is an increasing function and hence deduce that the equation x+cosx = a has no positive root for a lt 1

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
  1. If f(x)=x^3-10 x^2+200 x-10, then f(x) is

    Text Solution

    |

  2. If f(x)=x^(3/2)(3x-10),xgeq0, then f(x) is increasing in .

    Text Solution

    |

  3. The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in

    Text Solution

    |

  4. Let f(x) = log (sin x+ cos x), x in x (-pi/4,(3pi)/(4)) . Then f is st...

    Text Solution

    |

  5. Let f(x)=inte^x(x-1)(x-2)dxdot Then f decreases in the interval (-oo,...

    Text Solution

    |

  6. f(x)=(x)/(sinx ) and g(x)=(x)/(tanx) , where 0 lt x le 1 then in the...

    Text Solution

    |

  7. If f(x)=sinx-cosx, the function decreasing in 0 le x le 2pi is

    Text Solution

    |

  8. Let h(x)=f(x)-(f(x))^2+(f(x))^3 for every real x. Then,

    Text Solution

    |

  9. The function f(x)=[x(x-2)]^2 is increasing in the set

    Text Solution

    |

  10. y=x(x-3)^2 increases for all values of x lying in the interval

    Text Solution

    |

  11. The minimum value of f(a)=(2a^2-3)+3(3-a)+4 is

    Text Solution

    |

  12. The value of a for which the function f(x)=asinx+(1/3)sin3x has an ext...

    Text Solution

    |

  13. The function x^(5)-5x^(4)+ 5x^(3) -10 has a maxima, when x=

    Text Solution

    |

  14. If for a function f(x),f'(a)=0,f"(a)=0,f'''(a)gt0, then at x=a,f(x) is

    Text Solution

    |

  15. The local maximum of y=x^3-3x^2+5 is attained at

    Text Solution

    |

  16. The function f(x)=2x^3-15 x^2+36 x+4 is maximum at

    Text Solution

    |

  17. Let f(x)=2x^3-3x^2-12 x+5 on [-2,\ 4] . The relative maximum occurs ...

    Text Solution

    |

  18. Maximum value of x(1-x)^2 when 0lt=xlt=2 is

    Text Solution

    |

  19. The minimum value of (x^(2) + (250)/(x)) is

    Text Solution

    |

  20. The minimum value of the function f(x)=xlogx is

    Text Solution

    |