Question

найти производную y=(x2-3x+9)(x+3)

Answer 1

y=x³-3x²+9x+3x²-9x+27
y¹=3x²

Answer 2

y' = (x² - 3x + 9)'(x+3) + (x² - 3x + 9)(x+3)' = 

= (2x - 3)(x+3) + x² - 3x + 9 = 

= 2x² + 3x - 9 + x² - 3x + 9 = 

= 3x²