Umkehrfunktion (Fkt.-Werte & gleichmäßige Stetigkeit) | Höma2 ET&IT, HA6 A3, RWTH Aachen 2025

Homework 6 Task 3 from the Advanced Mathematics 2 ET&IT module at RWTH Aachen University (2025). In this task, we first examine the monotonicity of the given function, then determine the values of the inverse function, and then examine the uniform continuity of the inverse function without explicitly determining the inverse function. Are you interested in weekly support with your exercises and homework in Analysis 1 & Linear Algebra 1? Then feel free to join our study groups! Math for Engineering: https://chat.whatsapp.com/EjzxiF8rA67... https://chat.whatsapp.com/CL3dvXnXe9d... Math Bachelor's Degree/ Math Teacher Training/ Computer Science, Engineering: https://chat.whatsapp.com/GANQtu6V78W... Math in Economics: https://chat.whatsapp.com/L4iEb7WCaFc... If you need to prepare for a math exam, check out my own online platform: https://champcademy.com. There you'll find courses, personalized support, and everything you need to pass your exam. 🤓 ONLINE COURSES 🤓 25% discount on all my courses. Coupon code "MATHEPETER" THEMED COURSES Statistics and Probability Calculus https://champcademy.teachable.com/p/s... Complex Numbers https://champcademy.teachable.com/p/c... Sequences, Series, and Difference Equations https://champcademy.teachable.com/p/s... Differential Calculus https://champcademy.teachable.com/p/d... Limits of Functions https://champcademy.teachable.com/p/l... Integral Calculus https://champcademy.teachable.com/p/i... Multidimensional Integral Calculus https://champcademy.teachable.com/p/m... Functions with Multiple Integers Variables https://champcademy.teachable.com/p/f... Extreme Value Calculus https://champcademy.teachable.com/p/e... Higher-Order Differential Equations https://champcademy.teachable.com/p/h... MODULE COURSES Mathematics in Economics https://champcademy.teachable.com/p/m... Math 1 Crash Course (adapted for HU Berlin) https://champcademy.teachable.com/p/m... Math 2 LIVE Crash Course (for HU Berlin) https://champcademy.teachable.com/p/m... Statistics 1 LIVE Crash Course (for HU Berlin) https://champcademy.teachable.com/p/s... Analysis 1 & Linear Algebra for Engineering (TU Berlin) https://champcademy.teachable.com/p/a... Analysis 2 for Engineering (TU Berlin) https://champcademy.teachable.com/p/a... BUNDLE All-In-One Complete Bundle https://champcademy.teachable.com/p/a... Topic Course Bundle https://champcademy.teachable.com/p/a... SOCIAL MEDIA https://linktr.ee/mathepeter   / mathepeter.tv     / discord   CALENDAR https://kalender.digital/19534f26d000... AFFILIATE LINKS I receive a small commission for every purchase. The price remains the same for you: My calculator https://amzn.to/2RbhKKj My blackboard https://amzn.to/2WdVUtd ♥♥♥ ♜♞♝♛♚♝♞♜ ♥♥♥ ♟♟♟♟♟♟♟♟♟ --------------------------------------------------------------------- Would you like to support me? Patreon:   / mathepeter   PayPal: https://paypal.me/peterlehe1?locale.x... -------------------------------------------------------------------- ♙♙♙♙♙♙♙♙ ♥♥♥ ♖♘♗♕♔♗♘♖ ♥♥♥ Content: 0:00 Intro 0:10 Exercise (a): Strict Monotonicity 5:38 Exercise (b): Function Values of g and g' 9:34 Exercise (c): Uniform Continuity of g