Home
Class 12
MATHS
On which of the following intervals is t...

On which of the following intervals is the function `x^(100)+sinx-1` decreasing?

A

`(0,(pi)/(2))`

B

`(0,1)`

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 14

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • JEE MOCK TEST 17

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

On which of the following intervals is the function x^(100)+sin x-1 decreasing? (a) (0,(pi)/(2))(b)(0,1)(c)((pi)/(2),pi)( d) none of these

In which one of the following intervals is the function f(x)=x^(2)-5x+6 decreasing?

On which of the following intervals is the function f given by f(x)=x^(100)+sinx-1 strictly decreasing ? (A) (0, 1) (B) (pi/2,pi) (C) (0,pi/2) (D) None of these

On which of the following intervals is the function 'f' given by f(x)=x^(100)+sinx-1 strictly increasing?

On which of the following intervals is the function 'f' given by f(x)=x^(100)+cosx-1 strictly decreasing?

find intervals in which function x^(3)+2x^(2)-1 is increasing and decreasing?

The interval in which the function y=x^(3)+5x^(2)-1 is decreasing is

NTA MOCK TESTS-JEE MOCK TEST 15-MCQS (MATH)
  1. If vecr*hati=2vecr*hatj=4hatr*hatk and |vecr|=sqrt(84), then the value...

    Text Solution

    |

  2. If A={x in R:|x|lt2} and B={x in R:|x-2|ge3}, then

    Text Solution

    |

  3. On which of the following intervals is the function x^(100)+sinx-1 dec...

    Text Solution

    |

  4. The area bounded by the graph y=[x-3], the X-axis and the lines x=-2 a...

    Text Solution

    |

  5. underset(nrarroo)(lim)(3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))=

    Text Solution

    |

  6. Let function F be defined as f(x)= int1^x e^t/t dt x > 0 then the v...

    Text Solution

    |

  7. The sum of the squares of deviation of 10 observations from their mean...

    Text Solution

    |

  8. 2.The number of ordered pair(s) (x,y) satisfying y = 2 sinx and y = 5x...

    Text Solution

    |

  9. If g(x)=x^(2)+x+x-1 and g(f(x))=4x^(2)-10x+5 then find f((5)/(4))

    Text Solution

    |

  10. The tangents to x^2+y^2=a^2 having inclinations alpha and beta interse...

    Text Solution

    |

  11. Which of the following is logically equivalent to ~(~pto q)?

    Text Solution

    |

  12. The number of different terms in the expansion of (1-x)^(201)(1+x+x^(2...

    Text Solution

    |

  13. The angle of elevation of an object on a hill is observed from a certa...

    Text Solution

    |

  14. If alpha,beta are the roots of the equation x^(2)-3x+4=0, then the equ...

    Text Solution

    |

  15. If y=Acos(logx)+B sin(logx) then prove that x^(2)(d^(2)y)/(dx^(2))+x(d...

    Text Solution

    |

  16. If z be a complex number satisfying |z-4+8i|=4, then the least and the...

    Text Solution

    |

  17. A perpendicular is drawn from a point on the line (x-1)/(2)=(y+1)/(-1)...

    Text Solution

    |

  18. The general solution of the differential equation (dy)/(dx)+sin(x+y)/2...

    Text Solution

    |

  19. The number of value of x in [0,2] at which f(x)=|x-1/2|+|x-1|+tan x is...

    Text Solution

    |

  20. Find the number of ways in which four distinct balls can be kept into ...

    Text Solution

    |