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


On August 21 I am planning to perform a major update to the site. I can't give a specific time in which the update will happen other than probably sometime between 6:30 a.m. and 8:00 a.m. (Central Time, USA). There is a very small chance that a prior commitment will interfere with this and if so the update will be rescheduled for a later date.

I have spent the better part of the last year or so rebuilding the site from the ground up and the result should (hopefully) lead to quicker load times for the pages and for a better experience on mobile platforms. For the most part the update should be seamless for you with a couple of potential exceptions. I have tried to set things up so that there should be next to no down time on the site. However, if you are the site right as the update happens there is a small possibility that you will get a "server not found" type of error for a few seconds before the new site starts being served. In addition, the first couple of pages will take some time to load as the site comes online. Page load time should decrease significantly once things get up and running however.

August 7, 2018

Calculus III - Practice Problems

 Directional Derivatives


For problems 1 & 2 determine the gradient of the given function.


1.   [Solution]


2.   [Solution]


For problems 3 & 4 determine  for the given function in the indicated direction.


3.   in the direction of   [Solution]


4.  in the direction of   [Solution]


5. Determine  for  direction of . [Solution]


For problems 6 & 7 find the maximum rate of change of the function at the indicated point and the direction in which this maximum rate of change occurs.


6.  at   [Solution]


7.  at   [Solution]


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

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