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Chapter 14Partial Derivatives

0114.01Functions of Multiple Variables
0214.02Limits and Continuity
0314.03Partial Derivatives
0414.04Higher-Order Partial Derivatives
0514.05Tangent Planes and Linear Approximation
0614.06The Chain Rule
0714.07Directional Derivatives
0814.08The Gradient
0914.09Divergence and Curl
1014.10Relative Extrema
1114.11Absolute Extrema
1214.12Lagrange Multipliers

Chapter 14 · Partial Derivatives

0114.01Functions of Multiple Variables
0214.02Limits and Continuity
0314.03Partial Derivatives
0414.04Higher-Order Partial Derivatives
0514.05Tangent Planes and Linear Approximation
0614.06The Chain Rule
0714.07Directional Derivatives
0814.08The Gradient
0914.09Divergence and Curl
1014.10Relative Extrema
1114.11Absolute Extrema
1214.12Lagrange Multipliers

Topics / 14 Partial Derivatives

14.10

Relative Extrema

Find where the gradient is zero, then use the second derivative test to sort maxima, minima and saddle points.

About 16 minutes

You'll learn to

→Find critical points of f(x, y)
→Apply the second derivative test
→Recognize saddle points
→Know when the test is inconclusive

← 14.09 Divergence and Curl 14.11 Absolute Extrema →

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