Question

derivada (2x-3)(x+4)

Answer 1

regra do produto
$\boxed{\boxed{(U*V)' = (U')*(V) + (U)*(V')}}$

aplicando isso temos:
$y=(2x-3)*(x+4)$

vamos chamar:
$\boxed{U=2x-3}\\U'=2*1 -0 \to \boxed{U'=2}\\\\\\\boxed{V=x+4}\\V'=1+0\to \boxed{V'=1}$

colocando na regra do produto: 

$y'= (2)*(x+4)+(2x-3)*(1)\\\\y'=2x+8 + (2x-3)*(1)\\\\y'=2x+8+2x-3\\\\y'=2x+2x+8-3\\\\y'=4x+5$