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July 2022 1 11 Report

Помогите найти производную, но, пожалуйста, последовательно: [tex]-\frac{3}{4}x\sqrt{x}+6x+13[/tex]

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SYSTEMCORE

$\displaystyle -\frac{3}4 x\sqrt{x}+6x+12=-\frac{3}4x^{1+\frac{1}2}+6x+12=-\frac{3}4x^{\frac{3}2}+6x+12\\\\\bigg(-\frac{3}4x^{\frac{3}2}+6x+12\bigg)'=-\frac{3}4\cdot\frac{3}2\sqrt{x}+6=\boxed{-\frac{9}8\sqrt{x}+6}$

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