What is the result of differentiate sin3x?

The derivative of ( \sin(3x) ) with respect to ( x ) is found using the chain rule. The derivative is ( 3\cos(3x) ), as the derivative of ( \sin(u) ) is ( \cos(u) ) and ( u = 3x ) gives a factor of 3. Thus, the result is ( \frac{d}{dx}(\sin(3x)) = 3\cos(3x) ).