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Logarithmic differentiation is another way to find the derivative of a function. It can often be used in place of the product rule and/or quotient rule. If you're asked to find the derivative of a function, and the the function is fairly complex, with product rule and/or quotient rule required, that's when you might want to consider using logarithmic differentiation instead.
In order to apply logarithmic differentiation, you take the natural log of both sides of the equation, simplify both sides as much as possible using laws of logarithms, and then use implicit differentiation to take the derivative of both sides. Finally, you want to solve for the derivative y', and plug in for the original function y, in order to get a final answer for the derivative.
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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com
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