Multi-variable Optimization & the Second Derivative Test
Finding Maximums and Minimums of multi-variable functions works pretty similar to single variable functions. First,find candidates for maximums/minimums by finding critical points. Critical Points are where the partial derivatives with respect to x and y are both zero. Then we classify each critical point using the second derivative test. In the multivariable case, there is a new option beyond max/min/neither, there is also the case of the saddle point. The second derivative test involves computing the Hessian, the determinant of a matrix that helps decide whether points are maximums/minimums/saddle or inconclusive. We sketch the geometric intuition behind the Hessian.
****************************************************
YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems!
****************************************************
►Full Multivariable Calculus Playlist: • Calculus III: Multivariable Calculus (Vect...
****************************************************
Other Course Playlists:
►CALCULUS I: • Calculus I (Limits, Derivative, Integrals)...
► CALCULUS II: • Calculus II (Integration Methods, Series, ...
►DISCRETE MATH: • Discrete Math (Full Course: Sets, Logic, P...
►LINEAR ALGEBRA: • Linear Algebra (Full Course)
***************************************************
► Want to learn math effectively? Check out my "Learning Math" Series:
• 5 Tips To Make Math Practice Problems Actu...
►Want some cool math? Check out my "Cool Math" Series:
• Cool Math Series
****************************************************
►Follow me on Twitter: / treforbazett
*****************************************************
This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria.
BECOME A MEMBER:
►Join: / @drtrefor
MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett
En esta página del sitio puede ver el video en línea Multi-variable Optimization & the Second Derivative Test de Duración 13 minuto 36 segunda en buena calidad , que subió el usuario Dr. Trefor Bazett 24 noviembre 2019, comparta el enlace con amigos y conocidos, en youtube este video ya ha sido visto 150,592 veces y le gustó 4.2 mil a los espectadores. Disfruta viendo!
