Calculus 3: Partial Derivative (4 of 30) Understanding What is a Partial Derivative: Example 2

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In this video I will show the difference between taking the partial derivative with-respect-to the radius and the derivative with-respect-to the radius.

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Great explanation. Best I ever have seen! Awsome

Infinitesap
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Excellent explanation. Easy to understand. It helps me a lot. Thank you so much.

Ivan
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Thanks for this excellent explanation.

valeriereid
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I just have a question, sir. Why does the video say "1 of 50" but the playlist only contains until 30th video and not until the 50th video?

garcia
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could I just solve for h in terms of r upfront,  ie h = 5/2r, then use that to rewrite the equation as 1/3(pie)5/2r^3.  taking the derivative 7.5 r^2.  Plugging the values into both forms yield 30  (that is the way you did it and the way I suggested).  I guess the question is am I right, can I do it this way.  and second what is the draw back in doing it this way.

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