Question

Найдите производную функцию y=(5x^2-1)(2x+3)

Answer 1

$y=(5x^2-1)(2x+3)\\\\y'=10x(2x+3)+2(5x^2-1)=20x^2+30x+10x^2-2=\\\\=30x^2+30x-2$

Answer 2

Y`=((5x²-1)(2x+3))`=
=(5x²-1)`(2x+3)+(5x²-1)(2x+3)`=
=10x(2x+3)+(5x²-1)*2=
=20x²+30x+10x²-2=
=30x²+30x-2=
=2(15x²+15x-1)