Home
Class 12
MATHS
The function f(x)=2+4x^(2)+6x^(4)+8x^(6)...

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

A

only one maximum

B

only one minimum

C

no maxima or minima

D

many maxima and minima

Text Solution

Verified by Experts

The correct Answer is:
B
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

The function f(x) = (4-x^(2))/(4x-x^(2)) is

The function f(x)=2x^(3)-3x^(2)-12x+4 has :

THe interval in which the function f(x) = x^(3) - 6x^(2) + 9x + 10 is increasing in

Find the domain of the function f(x) = (x^(2) + 2x +1)/(x^(2) - 8x +12)

The function f(x) = 4 sin^(3)x - 6 sin^(2)x + 12 sin x +100 is strictly

The function f(x)=(x)/(2)+(2)/(x) has a local minimum at :

Find the intervals in which the following function f(x) = 20 - 9x + 6x^(2) - x^(3) (a) strictly increasing, (b) strictly decreasing.

Find the intervals in which the functions f given by f(x) = 4x^(3) - 6x^(2) - 72x + 30 is (a) strictly increasing (b) strictly decreasing.

Verify Rolles theorem for the function: f(x) = x^(2) + 2x -8,x in [-4,2]

HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. Let f(x) = (ax+b)/(cx + d), then f(x) has

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. A circle of radius unity is inscribed in an isosceles triangle. The le...

    Text Solution

    |

  13. An isosceles triangle of vertical angle 2 theta is inscribed in a circ...

    Text Solution

    |

  14. If x is real, the maximum value of ((4x^(2)+7x+10)/(4x^(2)+7x+4)) is

    Text Solution

    |

  15. If x is real, the minimum value of ((2x^(2)+4x+5)/(2x^(2)+4x+7)) is

    Text Solution

    |

  16. The interval in which y = x^(2) e^(–x) is increasing in

    Text Solution

    |

  17. The point on the curve x^(2) = 2y which is nearest to the point (0,5) ...

    Text Solution

    |

  18. For all real values of x, the minimum value of ((1-x+x^(2))/(1+x+x^(2)...

    Text Solution

    |

  19. The interval on which function f(x) = 2x^(3)+9x^(2)+12x-1 is decreasin...

    Text Solution

    |

  20. Let, f: R rarr R be defined by f(x) = 2x + cos x, then f

    Text Solution

    |