University Calculus: How to Differentiate x^x

In this math video I (Susanne) explain how to find the derivative of x^x step by step! In this video, we show how to rewrite x^x as an exponential function and then calculate its derivative using the chain rule and product rule. Perfect for university calculus students and anyone looking to master difficult derivatives. Mathematics explained. 00:00 Intro – Derivative 0:54 Change Base 3:12 Chain Rule 4:23 Product Rule 6:26 Outer Derivative 8:33 See you later! My German Math Channel: ​⁠ ‪@MathemaTrick‬ Find me on Instagram:   / mathema_trick   Buy Me a Cup of Hot Chocolate? ☕🍫 Creating these math tutorials takes a lot of brainpower and a warm cup of hot chocolate always helps! If you'd like to support my work and keep the tutorials coming, consider treating me to a virtual cup. 👉 https://paypal.me/TheMathQueen Thank you so much for your kindness! It means the world to me! #derivatives #university #maths