# How do you differentiate f(x)=(x^2 + 2) (x^3 + 4) using the product rule?

Apr 28, 2018

$f ' \left(x\right) = 5 {x}^{4} + 6 {x}^{2} + 8 x$
$f ' \left(x\right) = 2 x \times \left({x}^{3} + 4\right) + 3 {x}^{2} \times \left({x}^{2} + 2\right)$
$f ' \left(x\right) = 2 {x}^{4} + 8 x + 3 {x}^{4} + 6 {x}^{2}$
$f ' \left(x\right) = 5 {x}^{4} + 6 {x}^{2} + 8 x$