Most Calculus Students Get This Derivative Wrong (x^x)
Most calculus students know how to differentiate x⁵. Most calculus students know how to differentiate 5ˣ. But what happens when the base and exponent are BOTH variables? In this video, we'll find the derivative of x^x using logarithmic differentiation, one of the most powerful techniques from Calculus 1. If you've ever wondered how to differentiate x^x, this step-by-step lesson will show you exactly how it's done. Want more logarithmic differentiation examples? Check out the videos linked below: Logarithmic Differentiation: • Logarithmic Differentiation | Calculus 1 |... Even More Logarithmic Differentiation: • Calculus 1: Derivatives of Logarithmic Fun... Looking for a complete calculus course? Visit ProfessorVMath.com for full Calculus 1, Calculus 2, and Calculus 3 courses featuring: • Full-length video lessons • Guided notes • Study guides • Practice exams with detailed solutions • Lifetime access Thanks for watching! xoxo, Professor V #MathwithProfessorV #Calculus #Calculus1 #Derivatives #logarithmicdifferentiation © Math with Professor V. All rights reserved. 💡 Support & Exclusive Content 👉 Join my channel for perks: / @mathwithprofessorv 📺 Watch Next – Calculus Playlists Full Calculus 1 Video Lectures Playlist: • Calculus 1 Video Lectures Full Calculus 2 Integration Playlist: • Calculus 2 Video Lectures Calculus 3 Lectures: • Calculus 3 Video Lectures ✨ Most Helpful Integration Lessons (Calc 2) Integration by parts: • Calculus 2: Integration by Parts (Video #1... Tabular Integration: • Integration by Parts - Tabular Method | Ca... Trigonometric integrals: • Calculus 2: Trigonometric Integrals (Video... Trigonometric Substitution: • Calculus 2: Trigonometric Substitution (Vi... Partial Fraction Decomposition: • Calculus 2: Integration of Rational Functi... Strategy for Integration: • Calculus 2: Strategy for Integration (Vide... Improper Integrals: • Calculus 2: Improper Integrals (Video #7) ... 📘 Quick Trig Review Before Integrals Unit Circle: • Trigonometry: Circular Functions (Section ... Trig Identities: • Precalculus: Trigonometric Identities (Sec... Sum & Difference Formulas: • Precalculus: Sum and Difference Formulas f... Double & Half-Angle Formulas: • Precalculus: The Double-Angle and Half-Ang... 🛍️ Shop & Support Merch: https://math-with-professor-v.mysprea... Amazon Influencer Store: https://amazon.com/shop/mathwithprofe... 📲 Stay Connected IG: @mathwithprofessorv TikTok: @mathwithprofessorv This video is copy protected and cannot be downloaded or used in any capacity without my permission.
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