Hi there, I'm a new user to the forums (and Calculus) and I 'm hoping you can give me your opinion on my chain rule form below. When learning the chain rule, I was taught two forms. This form:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\frac{d}{dx}f(g(x))=f'(g(x))g'(x)[/tex]

As well as the Leibniz form

[tex]\frac{dy}{dx}=\frac{dy}{du}\frac{du}{dx}[/tex] where [tex]y=f(u)[/tex] and [tex]u=g(x)[/tex]

I prefer the Leibniz notation, except that it requires you to understand that [tex]y=f(u)[/tex] and [tex]u=g(x)[/tex], to really understand the d/dx expression.

So my question is if there is a way to make Liebniz more explicit? ie. Does the following make sense? Is it correct?

[tex]\frac{d}{dx}f(g(x)) = \frac{df(g(x))}{dg(x)}\frac{dg(x)}{dx}[/tex]

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

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!

# Chain rule notation - can Leibniz form be made explicit?

Loading...

Similar Threads - Chain rule notation | Date |
---|---|

Demystifying the Chain Rule in Calculus - Comments | Jan 2, 2018 |

I Rigorously understanding chain rule for sum of functions | Aug 6, 2017 |

I Heavyside step function chain rule | Mar 21, 2017 |

B Chain rule problem | Feb 26, 2017 |

B Chain rule for variable exponents | Jan 30, 2017 |

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