I'm trying to simplify this. I have two functions, f(adsbygoogle = window.adsbygoogle || []).push({}); _{0}(z), and f'(t, x, y, z). One is the 'base' value that varies only with height, the other is the small 'perturbation' value that varies with all four variables.

I am substituting these into an equation that calls for ∂(f)/∂(x)

Do I write this as ∂ (f_{0}+ f' ) / ∂(x) ?

And if so, how can I simplify it? Since f_{0}is not a function of x, can I just cross it out completely? Is it equal to ∂(f_{0}) / ∂(x) + ∂(f') / ∂(x) ?

**Physics Forums | Science Articles, Homework Help, Discussion**

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!

# Does a derivative distribute?

**Physics Forums | Science Articles, Homework Help, Discussion**