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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

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