Question

Математика
Производную функцию

Answer 1

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