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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

14.08

The Gradient

The gradient vector points uphill, its length is the steepest slope, and it's perpendicular to the level curves.

About 15 minutes

You'll learn to

→Compute the gradient
→Find the direction and rate of fastest increase
→Use the gradient as a normal to level curves and surfaces

← 14.07 Directional Derivatives 14.09 Divergence and Curl →

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