Summary

Keywords

logarithmic differentiation derivatives calculus product rule for derivatives product rule examples differentiation implicit differentiation problems introduction practice problems logarithms

Full Transcript

This calculus video tutorial provides a basic introduction into logarithmic differentiation. It explains how to find the derivative of functions such as x^x, x^sinx, (lnx)^x, and x^(1/x). You need to take the natural log of both sides of the equation and perform implicit differentiation to find dy/dx. You need to be familiar with product rule for derivatives and properties of logarithms. Derivatives - Free Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets.html Final Exam and Test Prep Videos: https://bit.ly/41WNmI9 _____________________________ Derivatives - Fast Review: https://www.youtube.com/watch?v=5yfh5cf4-0w&t=1s Derivatives - The Product Rule - f*g: https://www.youtube.com/watch?v=17X5g9QArTc Derivatives - The Quotient Rule: https://www.youtube.com/watch?v=8jVDEcQ0wXk Derivatives - The Chain Rule: https://www.youtube.com/watch?v=HaHsqDjWMLU Derivatives - Composite Functions: https://www.youtube.com/watch?v=vNXjMTv4vHs __________________________________ Implicit Differentiation: https://www.youtube.com/watch?v=xbviQHhU1rA Derivatives of Inverse Trig Functions: https://www.youtube.com/watch?v=KbYW9FDm-Zk Derivatives of Exponential Functions: https://www.youtube.com/watch?v=yg_497u6JnA Derivatives of Logarithmic Functions: https://www.youtube.com/watch?v=Dp9sgIvaKPk Logarithmic Differentiation: https://www.youtube.com/watch?v=9z1Dz60mWcQ ___________________________________ Derivatives - Using Logarithms: https://www.youtube.com/watch?v=VnB59SrT0PY Derivatives of Inverse Functions: https://www.youtube.com/watch?v=Hw6ltuCEtuU Derivatives - Differentiation Rules: https://www.youtube.com/watch?v=IvLpN1G1Ncg Derivatives - Function Notations: https://www.youtube.com/watch?v=7BK_mmYckmI Derivatives - The Reciprocal Rule: https://www.youtube.com/watch?v=dsqD5zg9hLY _________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections