Hi,(adsbygoogle = window.adsbygoogle || []).push({});

With respect to derivative notation...

d/dx(y) //1st derivative of y w.r.t x

d/dx (dy/dx) = d^2y/dx^2 //2nd derivative

d/x (d^2y/dx^2) = d^3y/dx^3 //3rd derivative

If you continue finding derivatives in this way, why do the d's increment in the numerator and not in the denominator while the x's increment in the denominator?

I understand the pattern and even intuitively it makes sense to read: d^2y/dx^2 as the second derivative of y w.r.t x, but I don't understand why the notation behaves this way.

*The formatting changed when I posted. The "//" means comment.

Thanks!

**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!

# I Higher Level Derivative Notation

Have something to add?

Draft saved
Draft deleted

Loading...

Similar Threads - Higher Level Derivative | Date |
---|---|

I Euler Lagrange formula with higher derivatives | Jan 24, 2018 |

I Differentials of order 2 or bigger that are equal to 0 | Dec 6, 2017 |

I Is there a trick to tell which is the higher curve? | Apr 18, 2016 |

Higher derivative means function is higher? | Feb 11, 2016 |

I've heard that much of higher-level math involves proof-writing. Is | Mar 17, 2011 |

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