Home
Class 12
MATHS
Prove that the following functions do no...

Prove that the following functions do not have maxima or minima: `f(x) = e^x`

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

Prove that the following functions do not have maxima or minima: g(x) = logx

Prove that the following functions do not have maxima or minima. e^(3x)

Prove that the following functions do not have maxima or minima: h(x) = x^3+x^2+x+1

Prove that the following functions do not have maxima or minima. 2x^3 + 3x^2 + 6 x + 1

Prove that the following functions do not have maxima or minima. 4x^3 - 18 x ^2 + 27 x - 7

Prove that the following functions do not have maxima or minima. log(x+1). X> -1

Prove that the following functions are continuous: e^x(tanx)

Show that the following functions are strictly increasing on R : f(x) = e^x

Prove that the following functions are continuous: e^(sin^-1 x)

Prove that the following functions are continuous at all points of their domains: f(x) = e^x+e^-x

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Find the local maxima and local minima, if any, of the following funct...

    Text Solution

    |

  2. Find the local maxima and local minima, if any, of the following funct...

    Text Solution

    |

  3. Prove that the following functions do not have maxima or minima: f(x) ...

    Text Solution

    |

  4. Prove that the following functions do not have maxima or minima: g(x) ...

    Text Solution

    |

  5. Prove that the following functions do not have maxima or minima: h(x) ...

    Text Solution

    |

  6. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  7. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  8. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  9. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  10. Find both the maximum value and the minimum value of 3x^4-8x^3+12x^2-4...

    Text Solution

    |

  11. At what points in the interval [0,2pi], does the function sin 2x attai...

    Text Solution

    |

  12. What is the maximum value of the function sinx + cosx?

    Text Solution

    |

  13. Find the maximum value of 2x^3 - 24x + 107 in the interval [1,3]. Fin...

    Text Solution

    |

  14. It is given that at x = 1, the function x^4 - 62x^2 + ax + 9 attains i...

    Text Solution

    |

  15. Find the maximum and minimum values of x + sin 2x on [0, 2pi]

    Text Solution

    |

  16. . Find two numbers whose sum is 24 and whose product is as large as po...

    Text Solution

    |

  17. Find two positive numbers x and y such that x+y = 60 and xy^3 is maxim...

    Text Solution

    |

  18. Find two positive numbers whose sum is 15 and the sum of whose squares...

    Text Solution

    |

  19. A square ·piece of tin of side 12 cm is to be made into a box without ...

    Text Solution

    |

  20. A rectangular sheet of tin 45 cm x 24 cm is to be made into a box with...

    Text Solution

    |