Loading Solution   
Paul's Online Math Notes
Calculus III (Practice Problems) / Partial Derivatives / Interpretations of Partial Derivatives   [Notes] [Practice Problems] [Assignment Problems]

Calculus III - Practice Problems
3-Dimensional Space Previous Chapter   Next Chapter Applications of Partial Derivatives
Partial Derivatives Previous Section   Next Section Higher Order Partial Derivatives

 

1. Determine if  is increasing or decreasing at  if

       (a) we allow x to vary and hold y fixed.

       (b) we allow y to vary and hold x fixed.

[Solution]

 

2. Determine if  is increasing or decreasing at  if

       (a) we allow x to vary and hold y fixed.

       (b) we allow y to vary and hold x fixed.

[Solution]

 

3. Write down the vector equations of the tangent lines to the traces for  at . [Solution]

 

Problem Pane
Partial Derivatives Previous Section   Next Section Higher Order Partial Derivatives
3-Dimensional Space Previous Chapter   Next Chapter Applications of Partial Derivatives

Calculus III (Practice Problems) / Partial Derivatives / Interpretations of Partial Derivatives    [Notes] [Practice Problems] [Assignment Problems]

© 2003 - 2017 Paul Dawkins