Derivative of log x with any Base Explained | Calculus 1

Опубликовано: 03 Июнь 2023
на канале: Wrath of Math
14,212
137

We show the derivative of loga(x) is 1/(xlna) using implicit differentiation, our formula for the derivative of an exponential function a^x, and the chain rule! Then we plug in a=e to see the derivative of lnx is 1/x. We also find the derivative of log_3x using our new formula. #calculus1 #calculus

Join Wrath of Math to get exclusive videos, lecture notes, and more:
   / @wrathofmath  

Chain Rule Explained:    • What is the Chain Rule? (Finding Deri...  
Derivative of a^x:    • Derivative of a^x Explained | Calculus 1  
Guide to Implicit Differentiation: (coming soon)

Calculus 1 Exercises playlist:    • Calculus 1 Exercises  
Calculus 1 playlist:    • Calculus 1  

◉Textbooks I Like◉
Graph Theory: https://amzn.to/3JHQtZj
Real Analysis: https://amzn.to/3CMdgjI
Abstract Algebra: https://amzn.to/3IjoZaO
Linear Algebra: https://amzn.to/43xAWEz
Proofs and Set Theory: https://amzn.to/367VBXP (available for free online)
Statistics: https://amzn.to/3tsaEER
Discrete Math: https://amzn.to/3qfhoUn
Number Theory: https://amzn.to/3JqpOQd

★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits:   / wrathofmathlessons  
◆ Donate on PayPal: https://www.paypal.me/wrathofmath

Thanks to Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Roslyn Goddard, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, and Shadow Master for their generous support on Patreon!

Outro music is mine. You cannot find it anywhere, for now.

Follow Wrath of Math on...
● Instagram:   / wrathofmathedu  
● Facebook:   / wrathofmath  
● Twitter:   / wrathofmathedu  

My Math Rap channel:    / @mathbars2020  


Смотрите видео Derivative of log x with any Base Explained | Calculus 1 онлайн без регистрации, длительностью часов минут секунд в хорошем качестве. Это видео добавил пользователь Wrath of Math 03 Июнь 2023, не забудьте поделиться им ссылкой с друзьями и знакомыми, на нашем сайте его посмотрели 14,212 раз и оно понравилось 137 людям.