Question

Найти производную функции y=(x^2-1) (x^4+2) Полное решение!

Answer 1

y' = ( x^2 - 1)' (x^4 + 2) + ( x^2 - 1) ( x^4 + 2)'
y' = 2x ( x^4 + 2) + ( x^2 - 1) 4x^3
y' = 2x^5 + 4x + 4x^5 - 4x^3
y' = 6x^5 - 4x^3 + 4x

Answer 2

$y'(x)=(x^{2}-1)'(x^{4}+2)+( x^{2} -1)(x^{4}+2)'=2x(x^{4}+2)+4x^{3}*$$( x^{2} -1)$