Home
Class 12
MATHS
Discuss local maxima and minima of f(x) ...

Discuss local maxima and minima of `f(x) = ax + (b)/(x), x ne0`, where a,b>0.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    PRADEEP PUBLICATION|Exercise EXERCISE|502 Videos

  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

Similar Questions

Explore conceptually related problems

Discuss local maxima and minima of the function f(x) = x^x , x > 0

Discuss the local maximum or minimum of f(x) = x^3 at x = 0

Discuss local maxima and minima of the function f(x) = (4 - x^2)^(2//3)

Let f(x)=2x^3-9x^2+12 x+6. Discuss the global maxima and minima of f(x)in[0,2]a n d(1,3) and, hence, find the range of f(x) for corresponding intervals.

Find the points of local maxima and minima of the function f(x) = 4 sin x + cos 2 x x in (0, 2pi) Also find absolute maxima and minimum values.

Find the points of local maxima and local minima, if any, of the following functions. Find also the local maximm and local minimum values: g(x) = x/2 + 2/x, x ne 0

Find the local maxima and local minima, of the function f(x) = sin x -cos x , 0 le x le 2pi . Also find the local maximum and local minimum values.

Find the points of local maxima and minima of the function f(x) = 3x^4 - 4x^3 + 5 in (-1,2)

Find the points of local maxima and minima (if any) of each of the following functions. Find also the local maximum and minimum values. f(x) = 2 cos x + x in (0, pi)

Find the points of local maxima and minima (if any) of each of the following functions. Find also the local maximum and minimum values. f(x) = sec x + log cos^2 x, 0 le x le 2 pi, x ne pi/2, (3pi)/(2)

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Discuss local maxima and minima of f(x) = ax + (b)/(x), x ne0, where a...

    Text Solution

    |

  2. The length x of a rectangle is decreasign at the rate of 5 cm/min and ...

    Text Solution

    |

  3. The total cost C (x) and the total revenue R (X) associated with the p...

    Text Solution

    |

  4. The total revenue in Rupees received from the sale of x units of a pro...

    Text Solution

    |

  5. A stone is dropped into a quiet lake and waves move in circles at a sp...

    Text Solution

    |

  6. Find the rate of change of the volume V of a sphere of radius r w.r.t ...

    Text Solution

    |

  7. The radius of a balloon is increasing at the rate of 10 cm/sec. At wha...

    Text Solution

    |

  8. The radius of a spherical soap bubble is increasing at the rate of 0.2...

    Text Solution

    |

  9. A ballon, which always remains spherical has a variable diameter 3/2 (...

    Text Solution

    |

  10. The volume of a spherical balloon is increasing at the rate of 20 cm^3...

    Text Solution

    |

  11. An edge of a variable cube is increasing at the rate of 3 cm second. H...

    Text Solution

    |

  12. A cone has a fixed radius r and a variable height h. Find the rate of ...

    Text Solution

    |

  13. A right-circular cone has a fixed radius r and a variable height h. Fi...

    Text Solution

    |

  14. A solid right circular cylinder has its radius equal to half of its he...

    Text Solution

    |

  15. From a cylindrical drum containing oil and kept vertical, the oil leak...

    Text Solution

    |

  16. Two men A and B start with velocities v at the same time from the junc...

    Text Solution

    |

  17. A kite is moving horizontally at a height of 141.5 m. If the speed of ...

    Text Solution

    |

  18. For what x, sinx increases half as fast as x?

    Text Solution

    |

  19. A particle moves along the curve 6y = x^3+2. Find the points on the cu...

    Text Solution

    |

  20. A man 160 cm tall, walks away from a source of light situated at the t...

    Text Solution

    |

  21. A man, 2 m tall, walks at the rate of 1 (2)/(3) m/sec towards a street...

    Text Solution

    |