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

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

 Interpretations of 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.

 

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.

 

3. 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.

 

4. Write down the vector equations of the tangent lines to the traces for  at .

 

5. Write down the vector equations of the tangent lines to the traces for  at .

 

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

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

© 2003 - 2017 Paul Dawkins