Home
Class 12
MATHS
Prove that tan x is strictly increasing ...

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

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

Show that the function given by f(x)=sinx is strictly increasing on (0,pi/2)

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

Show that the function given by f(x)=sin x is a) strictly increasing in (0, pi/2) b) Strictly decreasing in (pi/2, pi) c) Neither increasing nor decreasing in (0,pi) .

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

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

Find the least value of a such that the function f given by f(x)=x^2+a x+1 is strictly increasing on (1,2)

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) .

Show that the function given by f(x)=sinx is strictly decreasing on (pi/2,pi)

Find the least value of a such that the function f given by f(x)=x^2+ax+1 is strictly increasing on (1,2)

A N EXCEL PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Which of the following functions are strictly decreasing on (0,pi/2) ?...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Find the slope of the tangent to curve y=x^3-x+1 at the point whose x...

    Text Solution

    |

  20. Find the slope of the tangent to the curve y=x^3-3x+2 at the point w...

    Text Solution

    |