Home
Class 12
MATHS
Show that 2 sin x + than x ge 3x all x i...

Show that `2 sin x + than x ge 3x all x in (0, pi/20).

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    SHARAM PUBLICATION|Exercise EXAMPLE|17 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    SHARAM PUBLICATION|Exercise EXAMPLE|156 Videos

Similar Questions

Explore conceptually related problems

Show that 2sinx+tanx ge 3x for all x epsilon(0,(pi)/(2)) .

Show that 2sinx+3tanxgt3x for all xin(0,frac[pi][2])

Show that f(x) = x - sin x is increasing for all x in R .

Show that x/(1+ x tan x,) x in (0,pi/2) is maximum when x = cos x.

Show that sin x (1 + cos x), x in |0, pi| is maximum value at x = (pi)/(3) .

Find the intervals in which the function given by f(x) = sin 3x, x in [0, (pi)/(2)] is (i) increasing (ii) decreasing

SHARAM PUBLICATION-APPLICATIONS OF DERIVATIVES-EXAMPLE
  1. Show that all the rectangles with a given perimeter, the square has th...

    Text Solution

    |

  2. Find the intervals where function is increasing function y = cos x + s...

    Text Solution

    |

  3. Show that 2 sin x + than x ge 3x all x in (0, pi/20).

    Text Solution

    |

  4. Find the approximate value of root(6)(63).

    Text Solution

    |

  5. Find the equation to the tangent and normal tothe parabola y^2 = 4ax a...

    Text Solution

    |

  6. Show that no two normals to a parabola are parallel.

    Text Solution

    |

  7. The slope of the curve 2y^2 = ax^2 + b at (1, -1) is- 1. Find a and b.

    Text Solution

    |

  8. Find the equation of the normal to the curve y= 2x^2 + 3 sin x at x = ...

    Text Solution

    |

  9. Determine the point on the curve y = ln x, at which the tangent will b...

    Text Solution

    |

  10. Find the extreme values of the function y = X + 1/x.

    Text Solution

    |

  11. Find the maximum and minimum value of x+1/x

    Text Solution

    |

  12. Find the intervals in which the function f(x) = 2x^3 + 9x^2 + 12x + 20...

    Text Solution

    |

  13. For which value of x, the function f(x)=4-x-x^2is maximum or minimum.

    Text Solution

    |

  14. etermine the sub-interval of (-(pi)/(2),(pi)/(2)), in which f(x)=tan x...

    Text Solution

    |

  15. Find the equation of the normal to the curve 5x^2+3y^2=23 at (2,-1)

    Text Solution

    |

  16. Find the slope of the tangent to the curve y =(logex)^2 at x=1/e

    Text Solution

    |

  17. Find the equation of normal to the curve 3y^2=16x at (3,4).

    Text Solution

    |

  18. Determine the point on the curve y = ln x, at which the tangent will b...

    Text Solution

    |

  19. Find the equation of the tangent to the curve x = y^2-1 at the point w...

    Text Solution

    |

  20. Find approxiamately the difference between the volumes of two cubes of...

    Text Solution

    |