[tex]\displaystyle\bf\\f(x)=Sin2x Cos3x+Cos2x Sin3x=Sin(2x+3x)=Sin5x\\\\\\f'(x)=(Sin5x)'=Cos5x\cdot(5x)'=5Cos5x\\\\\\f'(x)=0\\\\\\5Cos5x=0\\\\\\Cos5x=0\\\\\\5x=\frac{\pi }{2} +\pi n,n\in Z\\\\\\x=\frac{\pi }{10} +\frac{\pi n}{5} ,n\in Z\\\\\\Otvet \ : \ E[/tex]