Taking the ratio of a derivative of one function over another functions?

Author Question: Taking the ratio of a derivative of one function over another functions? (Read 1450 times)

j_sun

Sr. Member
Posts: 384

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

Full Member
Posts: 204

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

Hero Member
Posts: 739

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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