(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I know how to take the derivative of ln(x), it's just 1/x. But what if you had something more complicated than just x?

For example, ln(x^{4}(2x+5)^{5})?

2. Relevant equations

3. The attempt at a solution

I guess you would still do 1/(x^{4}(2x+5)^{5}), then multiply it by the derivative of the denominator.

Which would be 4x^{3}(2x+5)^{5}+ x^{4}(5(2x+5)^{4})(2).

Is that correct?

The problem I'm supposed to be doing is actually more complicated, it's ln[x^{5}(x+4)^{3}(x^{3}+4)^{6}]. Would the procedure be similar? I guess I'm not sure about taking the derivative of something with 3 terms, I've only ever seen it done with two.

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# Homework Help: Derivatives of ln(x)

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