Unformatted text preview: Then the previous equation reads which can now be read as an expression of the relationship between the two differentials df and dx . Hold that thought. As an example, consider our familiar kinematical quantities If we treat the differentials as simple algebraic symbols, we can invert the latter definition and write (Don't worry too much about what this ``means'' for now.) Then we can multiply the left side of the definition of a by 1/ v and multiply the right side by dt / dx and get an equally valid equation: or, multiplying both sides by , which is a good example of a mathematical identity , in this case involving the differentials of distance and velocity. Hold that thought. Next: Antiderivatives Up: Some Math Tricks Previous: Some Math Tricks Jess H. Brewer 19981008 (11.1)...
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 Fall '08
 SPEZIALE
 Calculus, Antiderivatives, Derivative, Infinitesimal, Jess H. Brewer

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