f-x-3x-2-a-Find-the-critical-number-b-Find-the-interval-on-which-f-increase-and-decrese-c-Find-the-local-extrem-value-of-f-d-using-the-2-nd-derivative-find-local-extrem-

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Question Number 27567 by chernoaguero@gmail.com last updated on 09/Jan/18

$$\mathrm{f}\left(\mathrm{x}\right)={3\mathrm{x}}^2$$$$\left(\mathrm{a}\right)\mathrm{Find}\mathrm{the}\mathrm{critical}\mathrm{number}$$$$\left(\mathrm{b}\right)\mathrm{Find}\mathrm{the}\mathrm{interval}\mathrm{on}\mathrm{which}\mathrm{f}$$$$\mathrm{increase}\mathrm{and}\mathrm{decrese}$$$$\left(\mathrm{c}\right)\mathrm{Find}\mathrm{the}\mathrm{local}\mathrm{extrem}\mathrm{value}\mathrm{of}\mathrm{f}$$$$\left(\mathrm{d}\right)\mathrm{using}\mathrm{the}{2}^{\mathrm{nd}}\mathrm{derivative},$$$$\mathrm{find}\mathrm{local}\mathrm{extrem}$$

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