We differentiate e^(2x) using the chain rule. This is a standard chain rule problem where the outside functions, f(x), is e^x, and the inside function, g(x), is 2x. Thus, we see [f(g(x)]' = f'(g(x)*g'(x) = e^(2x) * 2. #apcalculus #calculus1 Chain Rule Explained: • What is the Chain Rule? (Finding Derivativ... Chain Rule problems with sinx: • Derivative of sin(x^2), sin^2(x), and sin(... Calculus 1 Exercises playlist: • Calculus 1 Exercises Calculus 1 playlist: https://www.youtube.com/playlist?list... ◉Textbooks I Like◉ Graph Theory: https://amzn.to/3JHQtZj Real Analysis: https://amzn.to/3CMdgjI Proofs and Set Theory: https://amzn.to/367VBXP (available for free online) Statistics: https://amzn.to/3tsaEER Abstract Algebra: https://amzn.to/3IjoZaO 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 Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon! Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: https://crayonangel.bandcamp.com/ Follow Wrath of Math on... ● Instagram: / wrathofmathedu ● Facebook: / wrathofmath ● Twitter: / wrathofmathedu My Math Rap channel: / @mathbars2020