Найти производную y=(x+1)(x2-x+1)

Question

Найти производную y=(x+1)(x2-x+1)

Answer 1

Y' = (x+1)'(x² - x + 1) + (x+1)(x² - x + 1)' = x² - x + 1 + (x+1)(2x-1) =

=x² - x + 1 + 2x² + x - 1 = 3x²