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) ?

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# Does a derivative distribute?

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