Question

Differentiate y = 5x2e3x

Answer 1

$\dfrac{\mathrm d}{\mathrm dx}[5x^2e^{3x}]=5\left(\dfrac{\mathrm d}{\mathrm dx}[x^2]e^{3x}+x^2\dfrac{\mathrm d}{\mathrm dx}[e^{3x}]\right)$
$=5\left(2xe^{3x}+3x^2e^{3x}\right)$
$=5xe^{3x}(2+3x)$