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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 Derivativ... 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