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Автор - galinagrishina24

найти частные производные и полные дифференциалы
z = 2x^5*y-sin3*x

Ответ

Проверено экспертом

Автор - Evgenia4836

Частные производные:

dz/dx= 10x⁴y-3cos3x

dz/dy= 2x⁵-0= 2x⁵

Полный дифференциал:

dz=frac{dz}{dx}dx+frac{dz}{dy}dy

dz= (10x⁴y-3cos3x)dx+(2x⁵)dy

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