Question

Математика
Производную функцию

Answer 1

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