Question

Найти производную функции

Answer 1

у(х)=-х^(2/3) + 4

y'(x)=-(2/3)x^(2/3 - 1)=-(2/3)*x^(-1/3)

y'(8/27)=-2/3 * (1/∛(8/27)=-2/3 * 3/2= -1  -  это ответ.

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1/∛(8/27)=1/(2/3)=3/2.