Home
Class 12
MATHS
Let f(x)=x^(3)-(1)/(x^3) , then f(x)+f(...

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

A

local maximum at x =0

B

local minimum at x =0

C

point of inflextion at x =0

D

none of these

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

If f(x) = 1+x^4 , then f(x).f((1)/(x))=

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

If f(x) = (x-1)/(x+1) , then f[1/f(x)] =

Let f:RtoR be a mapping defined by f(x)=x^(3)+5 , then f^(-1)(x) is equal to :

Let f(x) = ( 2x+1)/(1-3x) , then f^-1 (x) =

If f(x)=(x-1)/(x+1) , then f(f(a x)) in terms of f(x) is equal to

If f(x)=1-(1)/(x),"then"f[f((1)/(x))] is :

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

HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. The function f(x) = a cos x + b tan x + x has extreme values at x = 0 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |