Objectives Use the first-order derivative to find the stationary points of a function. Use the...

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Optimization of economic functions Al Muizzuddin F Mat.Ek.Lanjutan

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Transcript of Objectives Use the first-order derivative to find the stationary points of a function. Use the...

Page 1: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.

Optimization ofeconomic functions

Al Muizzuddin FMat.Ek.Lanjutan

Page 2: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.

ObjectivesUse the first-order derivative to find the

stationary points of a function. Use the second-order derivative to classify

the stationary points of a function. Find the maximum and minimum points of

an economic function. Use stationary points to sketch graphs of

economic functions.

Page 3: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.

Stationary Pointssometimes called (critical points, turning

points or extrema) of the function.At a stationary point the tangent to the graph

is horizontal and so has zero slope.

Page 4: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.

Stationary Points (2)

Page 5: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.

Menentukan Titik Stasioner

Page 6: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.

Contoh Soal 1

Page 7: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 8: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 9: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 10: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 11: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 12: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 13: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 14: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 15: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.

Contoh Soal 2

Page 16: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 17: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 18: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 19: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 20: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 21: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 22: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.

Latihan Soal

Page 23: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.

Contoh Soal 3

Page 24: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 25: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 26: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 27: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 28: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 29: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 30: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 31: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.
Page 32: Objectives Use the first-order derivative to find the stationary points of a function. Use the second-order derivative to classify the stationary points.

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