ПРОИЗВОДНАЯ y=(tg^5(3x^4-13))'. Created by dienstag. algebra-ru

ПРОИЗВОДНАЯ y=(tg^5(3x^4-13))'...

dienstag @dienstag

August 2022 1 5 Report

ПРОИЗВОДНАЯ y=(tg^5(3x^4-13))'

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Verified answer

$y = tg ^{5} (3x ^{4}-13)$
$y' = 5tg ^{4}(3x ^{4}-13)*[tg(3x ^{4}-13)]' = 5tg ^{4}(3x ^{4}-13) * \frac{1}{Cos {2} (3x ^{4}-13) } *$ $(3x ^{4} -13)' = \frac{5tg ^{4}(3x ^{4} -13)*12 x^{3} }{Cos ^{2}(3x ^{4}-13) }$

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