Home
Class 12
MATHS
Discuss the extremum of f(x)={x^2+x^-2}...

Discuss the extremum of `f(x)={x^2+x^-2}`

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

Discuss the extremum of f(x)=2x^3-3x^2-12 x+5 for x in [-2,4] and the find the range of f(x) for the given interval.

Discuss the extremum of f(x)=2x+3x^(2/3)

Discuss the extremum of f(x)=x(x^2-4)^(-1/3)

Discuss the extremum of f(x)=1/3(x+1/x)

Discuss the extremum of f(x)={1+sinx ,x<0x^2-x+1,xgeq0a tx=0

Discuss the extremum of f(x)=sinx+1/2sin2x+1/3sin3x ,0lt=xlt=pidot

Discuss the extremum of f(x)=sinx(1+cosx),x in (0,pi/2)

Discuss the extremum of f(x)=asecx+bcos e cx ,0ltaltb

Discuss the extremum of f(x)=1+2sinx+3 cos^2x ,0lt=xlt=(2pi)/3

Discuss the continuity of f(x)={(x^4-5x^2+4)/(|(x-1)(x-2)|),x!=1,2, 6,x=1, 12 ,x=2

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Discuss monotonocity of f(x)=x/(sinx)a n d g(x)=x/(tanx),where (xlt=1...

    Text Solution

    |

  2. Prove that the curves y=f(x),[f(x)>0],a n dy=f(x)sinx ,w h e r ef(x) i...

    Text Solution

    |

  3. Discuss the extremum of f(x)={x^2+x^-2}

    Text Solution

    |

  4. Tangents are drawn from the origin to curve y=sinxdot Prove that point...

    Text Solution

    |

  5. Write the maximum value of f(x)=x^(1//x) .

    Text Solution

    |

  6. Given f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[x])/x ,x!=0 1,x=0 , h...

    Text Solution

    |

  7. Determine the local maxima and local minima of f(x)=x^3-6x^2+12x-8 is

    Text Solution

    |

  8. Show that the angle between the tangent at any point P and the line jo...

    Text Solution

    |

  9. Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3 h...

    Text Solution

    |

  10. The angle between the tangents to the curves y=x^2a n dx=y^2a t(1,1) ...

    Text Solution

    |

  11. Prove that f(x)=(sinx)/x is monotonically decreasing in [0,pi/2]dot

    Text Solution

    |

  12. If the tangent at any point (4m^2,8m^2) of x^3-y^2=0 is a normal to th...

    Text Solution

    |

  13. Show that the function f(x)=4x^3-18x^2+27x-7 has neither local maxima ...

    Text Solution

    |

  14. The angle formed by the positive y - axis and the tangent to y=x^2+4x-...

    Text Solution

    |

  15. Discuss the extremum of f(x)=sinx(1+cosx),x in (0,pi/2)

    Text Solution

    |

  16. The abscissa of the point on the curve sqrt(x y)=a+x the tangent at wh...

    Text Solution

    |

  17. Find the derivative of the function given by f(x)=(4sinx-2x-xcosx)/(2+...

    Text Solution

    |

  18. The coordinates of the point(s) on the graph of the function f(x)=(x^3...

    Text Solution

    |

  19. Let f:[a-> b] be a function such that for c in (a , b),f^(prime)(c)=f^...

    Text Solution

    |

  20. Which of the following pair(s) of curves is/are orthogonal?

    Text Solution

    |