i got a book "Schwams outline for calculus", or something like that, from the library, because i like to see where things are going. all of the diferentiation rules make sense except the trig and log differentiation rules. for log, it says [math]\frac{d}{dy}(log_{a}x)=\frac{1}{x}log_{a}e,a>0,a\not=1[/math], but it doesn't say how to do it with a function. the examples seem to suggest that you would replace x with the function and then [math]\frac{d}{dy}(log_{a}x)=\frac{1}{x}log_{a}e\frac{d}{dy}(x),a>0,a\not=1[/math]