Home
Class 12
MATHS
f(x) = (4x^3-3x^2)/6 -2Sinx +(2x-1)Cosx ...

`f(x) = (4x^3-3x^2)/6 -2Sinx +(2x-1)Cosx` , then `f(x)` is

A

increases in ` [1/2 , oo)`

B

increases in `( - oo , 1/2]`

C

decreases in `[1/2,oo)`

D

decreases in` (-oo , 1/2]`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise SECTION-B|50 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise (SECTION - A)|20 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

f(x)=x^(3)-6x^(2)+2x-4,g(x)=1-2x

Let f:R rarr R be defined as f(x)=x^(3)+3x^(2)+6x-5+4e^(2x) and g(x)=f^(-1)(x) ,then find g'(-1)

If f'(x)=sinx+sin4x.cosx, then f'(2x^(2)) is

If f'(x)=3x^(2)+2x-4 and f(1)=3, then f(x)=

If f'(x)=4x^3-3x^2+2x+k and f(0)=1, f(1)=4 find f(x)

If f(x)=2x^(6)+3x^(4)+4x^(2) , then f'(x) is

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-SECTION-A
  1. If int ( cos x - sin x )/( sqrt(8 - sin 2x ))dx = a sin^(-1) (( ...

    Text Solution

    |

  2. Value of -^(15)C(1) + 2..^(15)C(2)- 3.^(15)C(3) + ...... - 15.^(15)C(1...

    Text Solution

    |

  3. f(x) = (4x^3-3x^2)/6 -2Sinx +(2x-1)Cosx , then f(x) is

    Text Solution

    |

  4. Let f :R to R be fefined as f(x) = 2x -1 and g : R - {1} to R ...

    Text Solution

    |

  5. An ordinary dice is rolled for a certain number of times. If the proba...

    Text Solution

    |

  6. A committee has to be formed from 6 Indians and 8 foreignera such that...

    Text Solution

    |

  7. The area ( in sq, units ) of the part of the circle x^2 +y^2 ...

    Text Solution

    |

  8. If p,q gt0,p+q=2 and p^4+q^4=272, then p and q are roots of

    Text Solution

    |

  9. Two vertical poles are 150 m apart and the height of one is t...

    Text Solution

    |

  10. Evaluate : lim(x->0)(int0^(x^2)sinsqrt(t)\ dt)/(x^3)

    Text Solution

    |

  11. If e^(( cos^2 x + cos^4x+ cos ^6 x + ……..oo ) loge 2) satisfies t...

    Text Solution

    |

  12. The locus of the midpoint of the segment joining the focus to a moving...

    Text Solution

    |

  13. A missile fires a target . The probability of getting intercepted is 1...

    Text Solution

    |

  14. If 0 lt theta, phi lt (pi)/(2), x = sum(n=0)^(oo)cos^(2n)theta, y=sum(...

    Text Solution

    |

  15. f(x+1)=f(x) + f(1) , f(x), g(x) : N to N g(x) = any arbitrary functi...

    Text Solution

    |

  16. The equation of the line through the point (0,1,2) and perpendicular t...

    Text Solution

    |

  17. Let alpha be the angle between the lines whose direction cosines satis...

    Text Solution

    |

  18. The value of the integral int (sin theta.sin2theta(sin^(6)theta+sin...

    Text Solution

    |

  19. The value of int(-1)^(1)x^(2)e^([x^(3)])dx, where [t] denotes the grea...

    Text Solution

    |

  20. A man is observing, from the top of a tower, a boat speeding towards t...

    Text Solution

    |