Learn · Calculus for Economics, Commerce and Management
Lecture 24 of 41Week 5
Lecture 24 : Mean Value Theorem, Marginal Analysis, Local Maxima and Minima
Prof. Inder Kumar Rana · IIT Bombay
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- Calculus for Economics, Commerce and Management, IIT Bombay (at NPTEL)
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- CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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All the lectures
- Lecture 1 : Introduction to the Course
- Lecture 2 : Concept of a Set, Ways of Representing Sets
- Lecture 3 : Venn Diagrams, Operations on Sets
- Lecture 4 : Operations on Sets, Cardinal Number, Real Numbers
- Lecture 5 : Real Numbers, Sequences
- Lecture 6 : Sequences, Convergent Sequences, Bounded Sequences
- Lecture 7 : Limit Theorems, Sandwich Theorem, Monotone Sequences, Completeness of Real Numbers
- Lecture 8 : Relations and Functions
- Lecture 9 : Functions, Graph of a Functions, Function Formulas
- Lecture 10 : Function Formulas, Linear Models
- Lecture 11 : Linear Models, Elasticity, Linear Functions, Nonlinear Models, Quadratic Functions
- Lecture 12 : Quadratic Functions, Quadratic Models, Power Function, Exponential Function
- Lecture 13 : Exponential Function, Exponential Models, Logarithmic Function
- Lecture 14 : Limit of a Function at a Point, Continuous Functions
- Lecture 15 : Limit of a Function at a Point
- Lecture 16 : Limit of a Function at a Point, Left and Right Limits
- Lecture 17 : Computing Limits, Continuous Functions
- Lecture 18 : Applications of Continuous Functions
- Lecture 19 : Applications of Continuous Functions, Marginal of a Function
- Lecture 20 : Rate of Change, Differentiation
- Lecture 21 : Rules of Differentiation
- Lecture 22 : Derivatives of Some Functions, Marginal, Elasticity
- Lecture 23 : Elasticity, Increasing and Decreasing Functions, Optimization, Mean Value Theorem
- Lecture 24 : Mean Value Theorem, Marginal Analysis, Local Maxima and Minima
- Lecture 25 : Local Maxima and Minima
- Lecture 26 : Local Maxima and Minima, Continuity Test, First Derivative Test, Successive Differentiation
- Lecture 27 : Successive Differentiation, Second Derivative Test
- Lecture 28 : Average and Marginal Product, Marginal of Revenue and Cost, Absolute Maximum and Minimum
- Lecture 29 : Absolute Maximum and Minimum
- Lecture 30 : Monopoly Market, Revenue and Elasticity
- Lecture 31 : Property of Marginals, Monopoly Market, Publisher v/s Author Problem
- Lecture 32 : Convex and Concave Functions
- Lecture 33 : Derivative Tests for Convexity, Concavity and Points of Inflection, Higher Order Derivative Conditions
- Lecture 34 : Convex and Concave Functions, Asymptotes
- Lecture 35 : Asymptotes, Curve Sketching
- Lecture 36 : Functions of Two Variables, Visualizing Graph, Level Curves, Contour Lines
- Lecture 37 : Partial Derivatives and Application to Marginal Analysis
- Lecture 38 : Marginals in Cobb-Douglas model, partial derivatives and elasticity, chain rules
- Lecture 39 : Chain Rules, Higher Order Partial Derivatives, Local Maxima and Minima, Critical Points
- Lecture 40 : Saddle Points, Derivative Tests, Absolute Maxima and Minima
- Lecture 41 : Some Examples, Constrained Maxima and Minima