Differentials

Differentials - Differentials In this section were going to...

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In this section we’re going to introduce a notation that we’ll be seeing quite a bit in the next chapter. We will also look at an application of this new notation. Given a function we call dy and dx differentials and the relationship between them is given by, Note that if we are just given then the differentials are df and dx and we compute them in the same manner. Let’s compute a couple of differentials. Example 1 Compute the differential for each of the following. (a) (b) (c) Solution Before working any of these we should first discuss just what we’re being asked to find here. We defined two differentials earlier and here we’re being asked to compute a differential. So, which differential are we being asked to compute? In this kind of problem we’re being asked to compute the differential of the function. In other words, dy for the first problem, dw for the second problem and df for the third problem. Here are the solutions. Not much to do here other than take a derivative and don’t forget to add
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This note was uploaded on 11/06/2011 for the course MATH 151 taught by Professor Sc during the Fall '08 term at Rutgers.

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Differentials - Differentials In this section were going to...

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