Найдите производную следующей функции: y=4x^3/(x+4). Created by 007gaglik. algebra-ru

(x+4)...

007gaglik @007gaglik

July 2022 1 7 Report

Найдите производную следующей функции:
y=4x^3/(x+4)

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$y ' = ( \frac{4x ^{3} }{x+4}) ' = \frac{(4 x^{3})' *(x+4) - 4 x^{3}* (x+4)' }{(x+4) ^{2} } = \frac{12 x^{2} *(x+4)-4 x^{3} }{(x+4) ^{2} } = \frac{12 x^{3}+48 x^{2} -4 x^{3} }{(x+4) ^{2} }$ $= \frac{8 x^{3} +48 x^{2} }{(x+4) ^{2} }$

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