Home
Class 12
MATHS
Which of the following function is alway...

Which of the following function is always increasing? a)`x+sin2x`
b)`x-sin2x` c)`2x+sin3x` d)`2x-sinx`

A

x+sin 2x

B

x-sin 2x

C

2x+sin 3x

D

2x-sin x

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|53 Videos

Similar Questions

Explore conceptually related problems

Integrate the following functions: sinx sin2x sin3x

Integrate the following functions sqrt(sin2x) cos2x

Integrate the following functions: (cosx-sinx)/(1+sin(2x)

Integrate the following functions: (cos2x+2 sin^2 x)/cos^2x

lntegrate the following function with respect to x, cos 2 x(cos x+sin x)^2

Integrate the following functions: (sin^3x + cos^3x)/(sin^2x cos^2x)

lntégrate the following functions with respect to x (sin ^3x+cos ^3x)/(sin ^2 x cos ^2 x) dx

Integrate the following functions sin^-1 ((2x)/(1+x^2))

Integrate the following functions: sin^-1x/(sqrt(1-x^2)

prove the following sin^2 6x-sin^2 4x =sin2xsin10x

BODY BOOKS PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Find the equation of the tangent to the curve y=3x^2 at (1,1)

    Text Solution

    |

  2. Use differentiation to approximate sqrt36.6.

    Text Solution

    |

  3. Which of the following function is always increasing? a)x+sin2x b)x-s...

    Text Solution

    |

  4. The radius of a cylinder increases at a rate of 1 cm/s and its height ...

    Text Solution

    |

  5. Write the equation of tangent at (1,1) on the curve 2x^2+3y^2=5.

    Text Solution

    |

  6. Which of the following function is increasing for all values of x in i...

    Text Solution

    |

  7. Find a point on the curve y=(x-2)^2 at which the tangent is parallel t...

    Text Solution

    |

  8. Find the maximum profit that a company can make, if the profit functio...

    Text Solution

    |

  9. Find the slope of the normal to the curve y=sintheta at theta=pi/4

    Text Solution

    |

  10. Show that the function x^3-6x^2+15x+4 is strictly increasing in R.

    Text Solution

    |

  11. Show that all rectangles with a given perimeter, the square has the ma...

    Text Solution

    |

  12. Show that the function x^3-3x^2+6x-5 is strictly increasing on R.

    Text Solution

    |

  13. Find the interval in which the function f(x)=sinx+cosx, 0lexle2pi is s...

    Text Solution

    |

  14. The slope of the tangent to the curve y=x^3-1 at x=2 is………

    Text Solution

    |

  15. Use differentiation to approximate sqrt36.6.

    Text Solution

    |

  16. Find two numbers whose sum is 24 and whose product as large as possibl...

    Text Solution

    |

  17. Find the equation of the tangentto the ellipse x^2/a^2+y^2/b^2=1at(x1,...

    Text Solution

    |

  18. Find the intervals in which the function f(x)= 2x^3-15x^2+36x+1 is i...

    Text Solution

    |

  19. Find the intervals in which the function f(x)=2x^3-15x^2+36x+1 is inc...

    Text Solution

    |

  20. Find the approximate value of (626)^(1//4).

    Text Solution

    |