Предмет: Математика, автор: Lion777

найдите производную от корень из трех умножить на косинус икс третих

Ответы

Автор ответа: dtnth

$(sqrt{3x}*cos frac{x}{3})'=\\(sqrt{3x})'*cos frac{x}{3}+sqrt{3x}*(cos frac{x}{3})'=\\frac{1}{2sqrt{3x}}*3*cos frac{x}{3}-sqrt{3x}*sin frac{x}{3}*frac{1}{3}=\\frac{3cosfrac{x}{3}-2xsinfrac{x}{3}}{2sqrt{3x}}$

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