What does a function's smallest non-zero derivative say about the function? For example, say we have a function that looks like 6x^3, if you keep taking the derivative of this function until you get the smallest non-zero derivative, in this case 6x^3 -> 18x^2 -> 36x -> 36, what is the significance of the number 36 to the function 6x^3? I know that each function has a specific smallest non-zero derivative, however, each non-zero derivative can be characteristic of an infinite amount of functions in you keep integrating it.(adsbygoogle = window.adsbygoogle || []).push({});

Is there anything to this thought, or am i just asking a pointless question?

also, i was playing with numbers and derived that for nx^l, when l is a whole number, the smallest non zero derivative is (l-1)!*n*l.

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

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

# B Smallest non-zero derivative

Have something to add?

Draft saved
Draft deleted

Loading...

Similar Threads - Smallest zero derivative | Date |
---|---|

B Can f(x) and f'(x) both approach a non-zero constant? | Mar 26, 2017 |

I How do you know when ∞ - ∞ is zero? | Oct 14, 2016 |

I Why is Stoke's theorem of a closed path equal to zero? | Sep 26, 2016 |

I Why this triple integral equals zero? | Sep 5, 2016 |

Royden Review:LimSup, LimInf are the Largest/Smallest Limit Points of {a_n} | Jul 3, 2011 |

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