Section 14.1 Functions of Several Variables (New Video)
Worksheet – Functions of Several Variables
Section 14.2 Limits and Continuity in Higher Dimensions
Worksheet – Limits and Continuity in Higher Dimensions
Section 14.3 Partial Derivatives (NEW VIDEO)
Worksheet – Partial Derivatives
Section 14.4 The Chain Rule
worksheet – The Chain Rule
examples for 14.4 (NEW!)
Section 14.5 Directional Derivatives and Gradient Vectors
examples for 14.5 on gradients
Worksheet – Directional Derivatives and Gradient Vectors
Section 14.6 Tangent Planes and Differentials
examples for 14.6 on tangent planes and linearization
worksheet for 14.6 – Tangent Planes and Differentials
Section 14.7 Extreme Values and Saddle Points
examples for 14.7 saddelpoints, local maxs and mins
worksheet for 14.7 – Extreme Values and Saddle Points
Section 14.8 Lagrange Multipliers
examples for 14.8 Lagrange Multipliers
worksheet for 14.8 – Lagrange Multipliers
Section 14.9 Taylor’s Formula for Two Variables Anna’s video AND watch video on MyMathLab
Worksheet – Taylor’s Formula for Two Variables
Section 14.10 Partial Derivatives and Constrained Variables Anna’s video AND watch video on MyMathLab
Worksheet – Partial Derivatives and Constrained Variables
Homework:
Section 14.1 1-29 odds, 37-51 odds
Section 14.2 3-51 multiples of 3
Section 14.3 3-60 multiples of 3
Section 14.4 1, 3, 5, 7, 13, 15, 17, 25-37 odds
Section 14.5 1-27 odds, 35, 36
Section 14.6 1, 3, 5, 6, 7 – 21 odds, 22, 25, 27, 29
Section 14.7 1, 3, 5, 11, 13, 17, 21, 25, 31, 35, 37
Section 14.8 1, 5, 7, 9, 11, 13, 17, 19, 23, 27
Section 14.9 1, 2, 4, 5, 6, 7, 9
Section 14.10 1- 8 all
Return to Anna’s MATH 241 page
Return to Kellogg Community College
Questions asked by students
14.5.35 erivative and direction (15th Edition)
14.5.36 erivative and direction (15th Edition)
14-8-1 extreme values (15th Edition)
14-8-5 extreme values (15th Edition)
14.8.7a extreme values (15th Edition)
14.8.7b extreme values (15th Edition)
14.8.7b greatest area of an rectangle in an ellipse (I cheated a little here knowing that it was an ellipse that would be centered at the origin so I used just xy for the area taking in mind that would be a fourth of the entire area, if I had multiplied by four it would have just been a constant coefficient and made my numbers a little bigger….) (15th Edition)
14-8-13 extreme values (15th Edition)
14.8.17 minimizing distance to a point (15th Edition)
14.8.19 minimum distance to origin (15th Edition)
14.8.27 rectangular box with largest volume in a sphere (15th Edition)
14.10.4 partial derivatives with constrained variables (15th Edition)
14.10.6 partial derivatives with constrained variables (15th Edition)
14.10.7 partial derivatives with constrained variables (15th Edition)
14.10.8 partial derivatives with constrained values (15th Edition)