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Unformatted text preview: Partial Derivatives MADE EASY! sources: http://mathworld.wolfram.com/PartialDerivative.html & http://en.wikipedia.org/wiki/Partial_derivative According to Wikipedia, the source of all knowledge on the internet, a partial derivative of a function of several variables is its derivative with respect to one of those variables with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary). Whoa!!! What did that say? I . Lets look at a regular/total derivative dx dA where . 2 ) ( x x A = ( ) x x dx d dx dA = = 2 2 . Simple enough, right? II . So whats the deal with partial derivatives? Lets find out Let h r V = 2 3 1 . Now the partial derivative of V with respect to r, r V , is done much the same way as dx dA , so we will look at dr dV . Consider the case where h is known, say h = 17.34 cm. Then h is considered a constant just like was. Substitute this value in to get a better picture:...
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This note was uploaded on 03/26/2010 for the course PHYS 116L taught by Professor Rowan during the Fall '10 term at University of North Carolina Wilmington.
- Fall '10