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

an increasing function

B

a decreasing function

C

an even function

D

an odd function

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|367 Videos
  • MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|251 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 .

HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. The functiony = x^(3)+5x^(2)-1 is decreasing in the interval

    Text Solution

    |

  2. If f(x) = cos x + a^(2)x +b is an increasing function for all values o...

    Text Solution

    |

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

    Text Solution

    |

  4. If x gt 0, xy = 1, minimum value of x+y is

    Text Solution

    |

  5. If sum of two numbers is 3, then the maximum value of the product of f...

    Text Solution

    |

  6. If y= a log x+bx^(2)+x has its extreme values at x = -1 and x = 2, the...

    Text Solution

    |

  7. The maximum value of the function f(x) = sin (x+pi/6)+ cos (x+pi/6) in...

    Text Solution

    |

  8. The number of values of x where the function f(x) = 2(cos 3x + cos sqr...

    Text Solution

    |

  9. The function f(x) = a cos x + b tan x + x has extreme values at x = 0 ...

    Text Solution

    |

  10. Let f(x) = (ax+b)/(cx + d), then f(x) has

    Text Solution

    |

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

    Text Solution

    |

  12. The function f(x)=2+4x^(2)+6x^(4)+8x^(6) has :

    Text Solution

    |

  13. The function f(x) = x^(1/x), x gt 0 has the maximum value at x = e, th...

    Text Solution

    |

  14. Maximum slope of the curve y=-x^(3)+3x^(2)+9x-27 is :

    Text Solution

    |

  15. The sum of two non zero numbers is 4. The minimum value of the sum of ...

    Text Solution

    |

  16. The point in the interval [0, 2pi] where f(x) = e^(x) . sin x has maxi...

    Text Solution

    |

  17. The function f(x) = x^(2) + k/x has a local minimum at x = 2, then the...

    Text Solution

    |

  18. For f(x) = x+1/x,

    Text Solution

    |

  19. The maximum value of f(x) = x/(4+x+x^(2)) on [-2,2] is

    Text Solution

    |

  20. AB is a diameter of a circle and C is any point on the circumference o...

    Text Solution

    |