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

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

A

(0, 1)

B

`(pi/2, pi)`

C

`(0, pi/2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-II|18 Videos

  • APPLICATIONS OF DERIVATIVES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-III|8 Videos

  • APPLICATIONS OF DERIVATIVES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|18 Videos

  • APPLICATIONS OF INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|17 Videos

Similar Questions

Explore conceptually related problems

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

Prove that the function 'f' given by f (x) = log sin x is strictly increasing on (0,pi/2)

Find the intervals in which the function f given by f(x) = x^2 - 4x + 6 , is strictly decreasing.

Find the interval in which the function 'f' defined by f(x) = -2x^3 -9x^2 - 12x + 1 is strictly increasing

Find the intervals in which the function given by f(x)=sin x+cos x, 0le x le 2pi is strictly increasing.

Find the intervals in which the function f(x) = 10 - 6x - 2x^2 is strictly increasing.

ACCURATE PUBLICATION-APPLICATIONS OF DERIVATIVES-QUESTIONS CARRYING 1 MARK - TYPE-I
  1. The normal at the point (1,1) on the curve 2y + x^2 = 3 is:

    Text Solution

    |

  2. The points on the curve 9y^2 = x^3 , where the normal to the curve mak...

    Text Solution

    |

  3. On which of the following intervals is the function 'f' given by f(x) ...

    Text Solution

    |

  4. The interval in which y=x^(2)e^(-x) is strictly increasing is

    Text Solution

    |

  5. The interval for which the function f(x)=x^2-4x-5, is strictly increas...

    Text Solution

    |

  6. The abscissa of the point on the curve 3y=6x-5x^3, the normal at which...

    Text Solution

    |

  7. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3=2

    Text Solution

    |

  8. The tangent to the curve given by: x=e^t cos t,y =e^t sin t at t = pi/...

    Text Solution

    |

  9. The equation of the normal to the curve y = sin x at (0,0) is

    Text Solution

    |

  10. The point on the curve y^2=x, where the tangent makes an angle of pi/4...

    Text Solution

    |

  11. The curve y=x^(1/5) has at (0, 0)

    Text Solution

    |

  12. Find the equations of the normals to the curve: 3x^2-y^2=8, which are ...

    Text Solution

    |

  13. If the curve at ay+x^(2)=7 and x^(3)=y, cut orthogonally at (1, 1), th...

    Text Solution

    |

  14. The equation of tangent to the curve y(1+x^(2))=2-x, where it crosses ...

    Text Solution

    |

  15. The points at which the tangents to the curve y=x^(3)-12x+18 are paral...

    Text Solution

    |

  16. The tangent to the curve y=e^(2x) at the point (0, 1) meets x-axis at ...

    Text Solution

    |

  17. The slope of the tangent to the curve x = t^2+3t-8, y = 2t^2-2t-5at th...

    Text Solution

    |

  18. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3=2

    Text Solution

    |

  19. Find the intervals in which the following functions are (a)increasing ...

    Text Solution

    |

  20. Let f:R to R be defined by f(x)=2x+cosx, then f:

    Text Solution

    |