Calculus I (Limits, Derivative, Integrals) **Full Course** - Logarithmic Differentiation | Example: x^sinx

Description: One of the few major classes of functions we can't yet differentiate are functions like x^sin(x). That is, one function to the power of another. By taking ln(x) first we can use the power of log rules to convert this into a product, and then apply product rule. But we have to be careful to convert back to the original function at the end! Learning Objectives: 1) Compute the derivative of one function to the power of another. Now it's your turn: 1) Summarize the big idea of this video in your own words 2) Write down anything you are unsure about to think about later 3) What questions for the future do you have? Where are we going with this content? 4) Can you come up with your own sample test problem on this material? Solve it! Learning mathematics is best done by actually DOING mathematics. A video like this can only ever be a starting point. I might show you the basic ideas, definitions, formulas, and examples, but to truly master calculus means that you have to spend time - a lot of time! - sitting down and trying problems yourself, asking questions, and thinking about mathematics. So before you go on to the next video, pause and go THINK. This video is part of a Calculus course taught by Dr. Trefor Bazett at the University of Cincinnati. BECOME A MEMBER: ►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join MATH BOOKS & MERCH I LOVE: ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett