Derivative of log(2,log(3,log(5,log(7,(x)))))

Описание: 0:00 Introducing the problem. Bonus question already?
0:20 Solution. Answer 1.
3:52 Searching alternate form. Answer 2.
5:37 Answer 3. The only-ln answer and the WolframAlpha answer. Even another method?

A really intuitive problem - just finding the derivative of a function with bunch of logarithms, which obviously means chain rule. But even this simple problem contains many interesting sub-questions. Why is the domain of the function given as shown in the video? Is there another way to express our derivative? Is there even more ways to express our derivative? What if we want to express the answer using only natural logarithms (ln)?

#differentiation #calculus #log #LogarithmicFunctions #derivatives #logarithm #ChainRule #BaseChangingFormula #NaturalLogarithm

-------------------------------------------------------------------------

CORNERSTONES OF MATH features quality math problems to strengthen your math fundamentals and problem-solving ability. Problems are generally on high school level (with some deviations), spanning over topics such as algebra, discrete mathematics, calculus, geometry, statistics, trigonometry, etc. I hope that this channel provides some intellectual pleasure and make you appreciate the beauty of math itself.

Please consider giving a Like to this video and Subscribing to my channel, it really means a lot for the creator like me, and you will be introduced to many more interesting math videos!