Home
Class 12
MATHS
Which of the following functions are str...

Which of the following functions are strictly decreasing on `(0,pi/2)` ? cos2x

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|47 Videos

Similar Questions

Explore conceptually related problems

Which of the following functions are strictly decreasing on (0,pi/2) ? cos3x

Which of the following functions are strictly decreasing on (0,pi/2) ? cosx

Find the intervals in which the following functions are strictly increasing or decreasing: 10-6x-2x^2

Find the intervals in which the following functions are strictly increasing or decreasing: 6-9x-x^2

Prove that the following functions are strictly increasing. f(x) = log (1 + x) - (2x)/(2 + x)

Prove that tan x is strictly increasing on (0,pi/2)

Prove that the logarithmic function is strictly increasing on (0,oo)

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

Prove that the function f given by f(x)=logcosx is strictly decreasing on (0,pi/2) and strictly increasing on ((3pi)/2,2pi) .

Prove that the function f(x)=logsinx is strictly increasing in (0,pi/2) and strictly decreasing in (pi/2,pi)

A N EXCEL PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Prove that the function f given by f(x)=x^2-x+1 is neither strictly ...

    Text Solution

    |

  2. Which of the following functions are strictly decreasing on (0,pi/2) ?...

    Text Solution

    |

  3. Which of the following functions are strictly decreasing on (0,pi/2) ?...

    Text Solution

    |

  4. Which of the following functions are strictly decreasing on (0,pi/2) ?...

    Text Solution

    |

  5. Prove that tan x is strictly increasing on (0,pi/2)

    Text Solution

    |

  6. On which of the following intervals is the function f given by f(x)=x^...

    Text Solution

    |

  7. Find the least value of a such that the function f given by f(x)=x^2+a...

    Text Solution

    |

  8. Let I be any interval disjoint from [-1,1]. Prove that the function f ...

    Text Solution

    |

  9. Prove that the function f given by f(x)=logsinx is strictly increasing...

    Text Solution

    |

  10. Prove that the function f given by f(x)=logcosx is strictly decreasin...

    Text Solution

    |

  11. Prove that the function given by f(x)=x^3-3x^2+3x-100 in increasing in...

    Text Solution

    |

  12. The interval in which y=x^2e^(-x) is increasing is a) (0,2) b) (-2,0) ...

    Text Solution

    |

  13. Find the equation of the tangent and normal at the point (1,2) on the ...

    Text Solution

    |

  14. Find the point at which the tangent to the curve y=sqrt(4x-3)-1 has ...

    Text Solution

    |

  15. Find the equation of all lines having slope 2 and being tangent to the...

    Text Solution

    |

  16. Find points on the curve x^2/4+y^2/25=1 at which the tangents are para...

    Text Solution

    |

  17. Find points on the curve x^2/4+y^2/25=1 at which the tangents are par...

    Text Solution

    |

  18. Find the equation of tangent to the curve given by x=asin^3t,y=bcos^3t...

    Text Solution

    |

  19. Find the slope of the tangent to the curve y=3x^4-4x" at "x=4

    Text Solution

    |

  20. Find the slope of the tangent to the curve. y=(x-1)/(x-2),xne2 at x=...

    Text Solution

    |