Question

найдите производную
$y = (x + \frac{1}{2})( {x}^{2} + x)$

Answer 1

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