Home
Class 12
MATHS
Use the functio f(x) = x^(1//x), x > 0 t...

Use the functio `f(x) = x^(1//x)`, x > 0 to determine the greater of `e^i` and `pi^e`

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

The function f(x)=e^(|x|) is

range of f(x)=e^(x)/([x]+1),x ge 0

If f(x)=x.e^(x(1-x), then f(x) is

If f(x)=e^(1-x) then f(x) is

Examine for continuity, the function 'f' defined by f(x) = {:{(e^(1//x), x ne 0),(0,x=0):} at x = 0

If the functions f(x)=x^(3)+e^(x//2) " and " g(x)=f^(-1)(x) , the value of g'(1) is ………… .

Determine the value of the constant k so that the function f(x) = {:{(kx+1, if x le pi),(cosx, if x > pi):} is continuous at x = pi .

If 2f(x)+f(-x)=1/xsin(x-1/x) then the value of int_(1/e)^e f(x)d x is

What ist he domain of the functio n f(x) = sin^-1 x + sec^-1 x ?

Verify Rolle's theorem for function f(x) = e^x cos x in the interval [-pi/2,pi/2] .

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Use the functio f(x) = x^(1//x), x > 0 to determine the greater of e^i...

    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

    |