Derivative of 2^x | Calculus 1 Exercises

Wrath of Math October 14, 2023
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We show the derivative of 2^x is 2^x*ln2 using log properties and implicit differentiation! We also see the general derivative of a^x. #calculus1 #apcalculus Derivative of a^x Explained: https://youtu.be/seUIPPOD1Nk Chain Rule Explained: https://www.youtube.com/watch?v=vpVJoFEY_xM&pp=ygUYd3JhdGggb2YgbWF0aCBjaGFpbiBydWxl Derivative of log x with Arbitrary Base: https://youtu.be/kOmNjoldiUs Calculus 1 Exercises playlist: https://www.youtube.com/playlist?list=PLztBpqftvzxUEqGGgvL3EuIQUNcAdmVhx Calculus 1 playlist: https://www.youtube.com/playlist?list=PLztBpqftvzxWVDpl8oaz_Co6CW50KtGJy ◉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 Calculus: https://amzn.to/3PieD1M 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: https://www.patreon.com/join/wrathofmathlessons ◆ Donate on PayPal: https://www.paypal.me/wrathofmath Thanks to Loke Tan, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Roslyn Goddard, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon! Outro music is mine. You cannot find it anywhere, for now. Follow Wrath of Math on... ● Instagram: https://www.instagram.com/wrathofmathedu ● Facebook: https://www.facebook.com/WrathofMath ● Twitter: https://twitter.com/wrathofmathedu My Math Rap channel: https://www.youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured

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