Calc 1, Lec 20A: A Wild & Crazy Derivative with Chain Rule and Quotient Rule (Graph on Mathematica)

We find the derivative of the crazy complicated function f(x)=tan^(-1)(cos(e^(x^2))) sin^(-1)(ln(x))/(x√x). We need to use the Chain Rule, the Quotient Rule, and known derivatives of inverse functions. We check the answer with Wolfram Mathematica and graph it. Infinite Powers, How Calculus Reveals the Secrets of the Universe: 🔴 Calculus 1, Lesson 1.1: Linear Functions (3Blue1Brown SoME2): 🔴 Calculus 1, Lesson 1.2: Exponential Functions: 🔴 Calculus 1, Lesson 1.3: Quadratic Functions, Transformations of Functions, and Function Composition: 🔴 Calculus 1, Lesson 1.4: Logarithmic Functions (Intro to Horizontal Compressions & Inverse Functions): 🔴 Calculus 1, Lesson 1.5: Trigonometric Functions and Inverse Trigonometric Functions: 🔴 AP Calculus AB Exam Review: Practice Exam Problems & Solutions (Multiple Choice, No Calculator): 🔴 AP Calculus AB Exam Review: Free Response Practice Exam Problems & Solutions: 🔴 AP Calculus BC Exam Review: Practice Exam (30 Question Multiple Choice, No Calculator): 🔴 AP Calculus BC Exam Review: Free Response Practice Exam Problems & Solutions: 🔴 Calculus 1 Exam 1 Review Problems and Solutions (Precalculus, Limits, Continuity, Derivatives): 🔴 Calculus 1 Course, Lecture 1: The Big Ideas (Rates & Areas, the Infinity Principle & Circular Area): 🔴 Calculus 1 Course Lecture Playlist: #calculus1 #derivatives #ChainRule Links and resources =============================== 🔴 Subscribe to Bill Kinney Math: 🔴 Subscribe to my Math Blog, Infinity is Really Big: 🔴 Follow me on Twitter: 🔴 Follow me on Instagram: 🔴 You can support me by buying “Infinite Powers, How Calculus Reveals the Secrets of the Universe“, by Steven Strogatz, or anything else you want to buy, starting from this link: 🔴 Check out my artist son Tyler Kinney’s website: 🔴 Desiring God website: AMAZON ASSOCIATE As an Amazon Associate I earn from qualifying purchases.