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Author Question: Taking the ratio of a derivative of one function over another functions? (Read 1455 times)

j_sun

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on: Jun 19, 2013
Why would a mathematician take a derivative of one function, put it over the derivative of another function, and take the ratio of the two?  Thanks.


Melanie

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Reply #1 on: Jun 19, 2013
That is the technique used to determine the limit of a rational function when the function is indeterminate at the limit. Query L'Hopital's Rule.


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coco

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Reply #2 on: Jun 19, 2013
convergence of derivatives: comparison test, ratio test
series expansion, like Taylor series. for f'(x)/g'(x)
numerical computations of functions, f(x), f'(x), ...f^n(x) represented as partial sums


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