# How do you differentiate f(x)=sin2x-cos3x?

$2 \cos \left(2 x\right) + 3 \sin \left(3 x\right)$
$f ' \left(x\right) = \cos \left(2 x\right) \cdot 2 - \left(- \sin \left(3 x\right)\right) \cdot 3$
$= 2 \cos \left(2 x\right) + 3 \sin \left(3 x\right)$