ikt503 - mathematical methods in economics
TRANSCRIPT
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MAT101 – Mathematics-I
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Derivative
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Two basic problems
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Rate of Change
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Rate of Change: Revenue Analysis
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Rate of Change: Revenue Analysis
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Rate of Change
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Tangent and Secant Line
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Slope of the Secant Line
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Slope of the Secant Line: Example
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Slope of the Secant Line: Example
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Slope of the Secant Line: Example
(D) In part (C), we saw that the limit of the slopes of the secant lines through the point (1, f(1)) is 2. If we graph the line through (1, f(1)) with slope 2, then this line is the limit of the secant lines. The slope obtained from the limit of slopes of secant lines is called the slope of the graph at x = 1. The line through the point (1, f(1)) with this slope is called the tangent line.
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Slope of the Tangent Line and Derivative
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Derivative: Summary
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Derivative: Example
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Derivative: Example
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Derivative: Example
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Derivative Example: Sales Analysis
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Nonexistence of the Derivative
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Nonexistence of the Derivative
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Nonexistence of the Derivative
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Basic Differentiation Properties
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Basic Differentiation Properties
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Basic Differentiation Properties: Examples
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Basic Differentiation Properties: Examples
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Basic Differentiation Properties: Examples
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Basic Differentiation Properties: Examples
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Marginal Analysis in Business and Economics
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Marginal Analysis in Business and Economics
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Marginal Analysis in Business and Economics
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Marginal Analysis in Business and Economics
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Marginal Analysis in Business and Economics
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Marginal Analysis in Business and Economics: Example
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Marginal Analysis in Business and Economics: Example
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Marginal Average Cost, Revenue, and Profit
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Marginal Average Cost, Revenue, and Profit: Example
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Marginal Average Cost, Revenue, and Profit: Example