Question

Найти производную функции y=(2+(x^3))/(2x)

Answer 1

$y = \frac{2 + {x}^{3} }{2x}$
$y = \frac{3x ^{2} \times 2x - 2 \times (2 + x ^{3} )}{4 {x}^{2} } = \frac{6 {x}^{3} -4 - 2 {x}^{3} }{4 {x}^{2} } = \frac{4 {x}^{3} - 4}{4 {x}^{2} } = \frac{ {x}^{ 3} - 1}{x ^{2} }$
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