# Calculus 3 : Partial Derivatives

## Example Questions

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### Example Question #1 : Limits

Evaluate:   Does not exist   Explanation:

Since we won't have any divided by zero problems, we can just evaluate at the point. ### Example Question #1 : Limits

Calculate the following limit.      Explanation:

We can calculate the limit by simply plugging in because the value is defined at and around that point.

So we get .

### Example Question #3 : Limits

Calculate the following limit.      Explanation:

We can calculate the limit by simply plugging in because the value is defined at and at every value in .

So we get .

### Example Question #2 : Partial Derivatives

Evaluate   Does not exist None of the other answers

Does not exist

Explanation:

If we try evaluating the limit along two different paths, , we have And Since evaluating along these two paths yielded diffferent values, the limit does not exist.

### Example Question #3 : Partial Derivatives      Explanation: ### Example Question #6 : Limits      Explanation: ### Example Question #7 : Limits      Explanation: ### Example Question #4 : Partial Derivatives      Explanation: ### Example Question #9 : Limits      Explanation: ### Example Question #10 : Limits        