I have been going over some lecture notes and have some questions about some of the mathematics shown in these notes.(adsbygoogle = window.adsbygoogle || []).push({});

They start off with the following equation:

[tex]\delta F_x = \dot{m} \frac{dV_x}{ds} \delta s[/tex]

and then impose the limit as [tex]\delta s \rightarrow 0[/tex], and gets:

[tex]\frac{dF_x}{ds} = \dot{m}\frac{dV_x}{ds}[/tex]

I guess I am kind of confused as to how [tex]\delta s \rightarrow 0[/tex] would form the differential seen on the left hand side of the equation.

Then the next line of the notes goes from the previous equation to:

[tex]dF_x = \dot{m}dV_x[/tex]

Is this because both sides have been integrated with respect to s? Or have I missed something else here too?

Sorry if these seem like simple questions, but I guess I am not as confident with limits and the difference between [tex]\Delta[/tex], [tex]\delta[/tex] and [tex]d[/tex] as I thought I was.

Any help would be appreciated.

Thanks,

Ryan

**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!

# Help with basic calculus

Loading...

Similar Threads - Help basic calculus | Date |
---|---|

Basic calculus notation help. | Feb 4, 2012 |

Integrability, basic measure theory: seeking help with confusing result | Nov 6, 2011 |

Basic sequence help. (Convergence) | Oct 24, 2011 |

Basic Trig help | Mar 7, 2007 |

Need some help with basic complex analysis (no proofs) | Feb 17, 2005 |

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