Given below are two statements:
Statement (I): The nth derivative of the function
excosxcos2x is:
2ex[(10n)cos(3x+ntan−13)+(2n)cos(x+4nπ)]Statement (II): The nth derivative of the function
xcos2xcos3x is:
21[(2n)cos(2x+2nπ)+(4n)cos(4x+2nπ)+(6n)cos(6x+2nπ)]In light of the above statements, choose the most appropriate answer from the options given below: