Partial Derivatives| Graphical Representation| MME 2| Sydsaeter & Hammon 15.3, 15.4

Welcome to Lecture 42 of the online lecture series on Mathematical Methods in Economics I typically offered as a core paper to Eco(Hons.) Students in their first and second semester. The textbook used in this video can be found here: https://drive.google.com/file/d/1eXtk... We are referring to section 15.3 on "Partial Derivatives" and 15.4 on " Partial Derivatives and Tangent Planes" from the book by Knut Sydsaeter and Peter J. Hammond Mathematics for Economic Analysis Topics Covered in this Lecture: 1. What are Partial Derivatives? 2. Notations of Partial Derivatives 3. Numerical Example 4. Higher Order Partial Derivatives 5. Graphical Meaning of Partial Derivatives For more videos on this lecture series: 1. Use of Logic in Maths:    • MME 1|LOGIC IN MATHS |NECESSARY & SUFFICIE...  ​ 2. Methods to Prove any Mathematical Theorem:    • MME 1| Methods to Prove any MATHEMATICAL T...  ​ 3. Functions of one variable:    • MME 1| Functions of one variable |Domain &...  ​ 4. Graphs of Functions of 1 Variable:    • Graphs | Introduction to Co-ordinate Plane...  ​ 5. Linear Functions:    • MME1 B.A.(H) Economics| Linear Functions| ...  ​ 6. Quadratic Functions:    • MME 1|Quadratic functions| Quadratic Optim...  ​ 7. Polynomials:    • MME 1|Polynomials| Remainder Theorem| Inte...  ​ 8. Power & Exponential Functions:    • MME 1| Power Functions| Exponential Functi...  ​ 9. Single Variable Differentiation:    • MME 1| Single Variable Differentiation| Ch...  ​ 10 Rates of Change and their Economic Significance:    • MME 1|Rates of change & economic significa...  ​ 11 Limits:    • MME 1| LIMITS | Sydsaeter & Hammond Ch 4 S...  ​ 12. Rules of Differentiation:    • MME 1 |Rules of Differentiation|Differenti...  ​ 13. High Order Derivatives, Implicit Differentiation:    • Second, High Order Derivatives| Implicit D...   14 Linear Approximations & Differentials:    • MME 1| Linear approximations & Differentia...  ​ 15 Polynomial Approximation & Elasticity:    • Polynomial Approximation| Elasticity| Syds...  ​ 16. Continuity:    • Continuity| Left Hand Limit| Right Hand Li...  ​ 17 Differentiability:    • Differentiability| Left Hand Derivative & ...  ​ 18 Infinite Sequence & Series:    • Geometric series| Infinite Sequence| Sydsa...  ​ 19. Present Discounted Value & Investment Projects:    • Present Discounted Value| Investment Proje...  ​ 20. Intermediate Value Theorem, Extreme Value Theorem & Mean Value Theorem:    • Intermediate value theorem| Extreme Value ...  ​ 21. Taylor's Formula:    • Taylor's formula | Lagrange Remainder| App...  ​ 22. L'hopital"s Rule:    • L'hopital"s Rule| Limits for Indeterminate...  ​ 23. Inverse Functions:    • Inverse Functions| Sydsaeter & Hammond Ch ...   24. Natural Exponential Function:    • The Natural Exponential Function| Sydsaete...  ​ 25. Natural Logarithmic Function:    • Natural logarithmic function| Mathematical...  ​ 26. Single Variable Optimization:    • Single variable Optimization| Finding Extr...  ​ 27. Local Maxima and Minima:    • Local Maxima and Minima| Mathematical Econ...  ​ 28. Concave and Convex Functions:    • Concave and Convex Functions| Sydsaeter & ...  ​ 29. Leontief Model:    • Leontief Model| Input Output Model| Linear...  ​ 30. Vectors & Matrices:    • Vectors & Matrices| Mathematical Economics...  ​ 31. Matrix Multiplication & Matrix Transpose:    • Matrix Multiplication| Matrix Transpose | ...  ​ 32. Determinants, Rules of Determinants:    • Determinants and Calculation| Cramer's Rul...   33. Inverse of a Matrix:    • Inverse of a Matrix| Properties, Calculati...   34. Linear Independence & Rank of Matrix:    • Linear Independence of Vectors| Rank of Ma...  ​ 35. Superfluous Equation, Degree of Freedom:    • MME 1 Ch 14| Superfluous Equations| Degree...  ​ 36. Integration, Areas under Curves:    • Introduction to Integration| Areas under c...   37. Indefinite Integrals:    • Indefinite Integrals|Meaning of Constant o...   38. Definite Integrals:    • MME 2| Definite Integrals | Sydsaeter & Ha...   39. Economic Applications of Integration:    • MME 2| Economic Applications of integratio...   40. Functions of Several Variables:    • Functions of several variables | Sydsaeter...   41. Level Curves:    • MME 2| Level Curves| Functions of Several ...   42. Partial Derivatives:    • Partial Derivatives| Graphical Representat...   ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Join this channel to get access to perks:    / @beyondtheclassroom   ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ For more, Subscribe to our Youtube channel: https://www.youtube.com/channel/UCTmU... ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Be a part of our facebook economics group:   / 37186...​   ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ And Follow us on Facebook:   / beyondthecla...​   Instagram: beyond_the_classroom2017 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ For any special video requests/comments, write to us at beyondtheclassroom2017@gmail.com or fill the google form https://forms.gle/PQzkmZ4EjmfrMFoM8​ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #mme​ #economics​ #maths​ beyondtheclassroom,beyond the classroom,partial derivatives,partial derivatives mme 2,mme 2 economics,mme economics,mme sem 2,mme eco hons,mathematical methods in economics,higher order partial derivatives,graphical meaning of partial derivatives,hammond 15.3,hammond 15.4,sydsaeter and hammond ch 15,sydsaeter and hammond mathematics for economic analysis solutions,sydsaeter and hammond mathematics for economic analysis,young theorem