Home
Class 12
MATHS
Let f(x)=x^(3)+(3)/(2) x^(2)+3x+3, then ...

Let `f(x)=x^(3)+(3)/(2) x^(2)+3x+3`, then f(x) is :

A

a decreasing function

B

an increasing function

C

an odd function

D

an even function.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Multiple Choice Questions LEVEL-II|35 Videos
  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|13 Videos
  • AREA UNDER CURVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Question from karnataka CET & COMED)|9 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=x^(3)-(1)/(x^3) , then f(x)+f((1)/(x)) is equal to :

Let f(x)=x^(3)-6x^(2)+9x+18 , then f(x) is strictly decreasing in :

If f(x) = 2x^3 + 3x^2 + 11x + 6 , then f(1) is :

If f(x)=log((1+x)/(1-x))andg(x)=(3x+x^(3))/(1+3x^(2)) , then f(g(x)) is equal to :

If 2f(x) = f^(')(x) and f(0) = 3, then f(2) =

Let f(x)=x^(3)-3x^(2)+6 find the point at which f(x) assumes local maximum and local minimum.

Let f(x) be a polynomial of degree four having extreme values at x = 1 and x = 2. If lim_(x to 0) [1+(f(x))/(x^(2))]=3 , then f(2) is equal to :

If f(x)= (2 x+1)/(3 x-2) , then f o f(2) is equal to

Find the antiderivative of f(x) given by f'(x)=4x^(3)-(3)/(x^(4)) such that f(2)=0 .

MODERN PUBLICATION-APPLICATION OF DERIVATIVES -Recent Competitive Questions (Questions from Karnataka CET & COMED)
  1. Let f(x)=x^(3)+(3)/(2) x^(2)+3x+3, then f(x) is :

    Text Solution

    |

  2. P is the point of contact of the tangent from the orign to the c...

    Text Solution

    |

  3. For the curve 4x^(5)=5y^(4), the ratio of the cube of the sub-tangent ...

    Text Solution

    |

  4. The set of real values of x for which f(x)=(x)/(logx) is increasing is...

    Text Solution

    |

  5. A wire of lenggth 20 cm is bent in the form of a sector of a circle. T...

    Text Solution

    |

  6. If for the curve y=1+bx-x^(2) the tangent at (1, -2) is parallel to x-...

    Text Solution

    |

  7. The slopes of the tangent and normal at (0, 1) for the curve y=sinx+e^...

    Text Solution

    |

  8. A stone is thrown vertically upwards and the height x ft, reached by ...

    Text Solution

    |

  9. If sin^(-1) a is the acture angle between the curves x^(2) + y^(2) =4x...

    Text Solution

    |

  10. The maximum area of rectangle that can be inscribed in a circle of rad...

    Text Solution

    |

  11. A stone is dropped into a quiet lake and waves in circles at the speed...

    Text Solution

    |

  12. A gardener is digging a plot of land. As he gets tired, he works more ...

    Text Solution

    |

  13. If f(x)=x^(3) and g(x)=x^(3)-4x in -2lt x lt 2, then consider the stat...

    Text Solution

    |

  14. The tangent to the curve y=x^(3)+1 at(1, 2) makes an angle theta with ...

    Text Solution

    |

  15. The maximum value of ((1)/(x))^(2x^(2)) is :

    Text Solution

    |

  16. Let x be a number which exceeds its square by the greatest possible qu...

    Text Solution

    |

  17. The sub tangent at x=(pi)/(2) on the curve y=sin x is :

    Text Solution

    |

  18. A balloon which always remains spherical is being inflated by pump...

    Text Solution

    |

  19. The two curves x^(3) - 3xy^(2) + 2 = 0 and 3x^2y - y^(3) = 2

    Text Solution

    |

  20. If x is real, the minimum value of x^(2)-8x+17 is :

    Text Solution

    |

  21. The slant height of a cone is fixed at 7 cm. If the rate of increase ...

    Text Solution

    |