Can't we simply plot f(x)=log(x)/x,we know x>0...apply limits to find value of f(x) at 0,1 and infinity(adsbygoogle = window.adsbygoogle || []).push({});

It's clear that the derivative of the function will be positive till e and negative after that(indicating e is a point of maxima).

That's your graph done.

log(pi)/pi will be a straight line cutting the function at x=pi and some other point(we'll need a calculator to find that,i guess)

Your answer's that point till pi

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# I Π^x and x^π

Have something to add?

Draft saved
Draft deleted

Loading...

Similar Threads - Π^x x^π | Date |
---|---|

I dx as a small change in x | Tuesday at 8:17 PM |

A Integrate f(x) = tanh(c*x^b)? Wolfram says not possible ... | Mar 11, 2018 |

This integral solveable [itex]\int^{3.5}_{0.5}(sin(x*π)+1)^adx[/itex]? | Feb 17, 2014 |

Epic fail trying to solve π(x) | Jun 15, 2012 |

Help needed solving π(x) | Jun 12, 2012 |

**Physics Forums - The Fusion of Science and Community**