Dreieck mit maximaler Fläche unter zusammengesetzten e-Funktion gesucht (So ähnlich im Abi gesehen)

This problem from the "Similar to what I saw in high school exams" series involves an optimization problem: finding a triangle with the maximum area inscribed under the graph of a composite exponential function. The triangle has its vertices at the origin, at a point on the positive x-axis, and at the corresponding point on the function's graph. 🧑‍🎓Need tutoring? - No problem - Book a free, no-obligation initial consultation: https://tidycal.com/mathehoch13/15-mi... Call ID: m13v0552 A printable worksheet is available for this video (#m13Script). Create a math folder: https://mathehoch13.de/VideoLandingPa... ** Subscribe to my channel here so you never miss a video: http://www.youtube.com/user/MaNHinDo?... All videos clearly sorted by topic: https://mathehoch13.de (Please share with classmates and teachers!) Support my channel and become a Patreon at:   / mathehoch13   Follow me on social media:   / mathehoch13     / mathehoch13     / mathehoch13   **If my videos have helped you, I'm always happy to receive: :) a "Like" 8) if you share my videos with classmates and friends :D comments with questions, suggestions, Video requests :P if you subscribe to my channel. All the best and see you next time, Your math coach, Christoph Goemans