How to find the TANGENT PLANE | Linear approximation of multi-variable functions скачать в хорошем качестве

How to find the TANGENT PLANE | Linear approximation of multi-variable functions

How do you find the equation of a tangent plane to the graph of a function f(x,y)? This is the multi-variable analog of finding the equation of a tangent line to the single variable function f(x). At each point (if f is differentiable) the tangent plane is a linear approximation. To compute this we use the vector equation of a plane with respect to the normal vector. The components of the normal vector come from the partial derivatives so if you can find partial derivatives you can write down the equation of the tangent plane. ►Full Multivariable Calculus Playlist:    • Calculus III: Multivariable Calculus ...   ♡♡♡SUPPORT THE CHANNEL♡♡♡ ►Support on PATREON:   / drtrefor   ►MATH BOOKS I LOVE (affiliate link): https://www.amazon.com/shop/treforbazett ►CURIOSITY BOX: https://www.CuriosityBox.com/DrTrefor use CODE drtrefor for 25% off awesome STEM merch boxes COURSE PLAYLISTS: ►DISCRETE MATH:    • Discrete Math (Full Course: Sets, Log...   ►LINEAR ALGEBRA:    • Linear Algebra (Full Course)   ►CALCULUS I:    • Calculus I (Limits, Derivative, Integ...   ►CALCULUS II:    • Calculus II (Integration Methods, Ser...   ►MULTIVARIABLE CALCULUS (Calc III):    • Calculus III: Multivariable Calculus ...   ►VECTOR CALCULUS (Calc IV):    • Calculus IV: Vector Calculus (Line In...   ►DIFFERENTIAL EQUATIONS:    • Ordinary Differential Equations (ODEs)   ►LAPLACE TRANSFORM:    • Laplace Transforms and Solving ODEs   ►GAME THEORY:    • Game Theory   OTHER PLAYLISTS: ►Cool Math Series:    • Cool Math Series   ►Learning Math Series:    • 5 Tips To Make Math Practice Problems...   ►LaTeX:    • Intro to LaTeX **Full Tutorial**  Par...   SOCIALS: ►X/Twitter: http://X.com/treforbazett ►TikTok:   / drtrefor   ►Instagram (photography based):   / treforphotography