Sorry if this is an ignorant or uninformed question, but I would like to know when I can (or should use) logarithmic differentiation. I haven't taken calculus in a while so I'm quite rusty.
So, let's say I have the following equation:
$$y = \sqrt[3]{x^2 +3} / \sqrt[]{x^2 +1}$$
I know how to solve this using logarithmic differentiation, but I'm also wondering if it'd be acceptable, or plausible, to solve using the quotient rule.
Similarly, for equations that I can solve using various rules (like chain rule, product rule, etc), am I also allowed to used logarithmic differentiation instead? My understanding of it remains vague.
Thanks!