y=a3xcos(2x+1)的導數(shù)

 

答案:
解析:

y′=[a3xcos(2x+1)]′

     =(a3x)′cos(2x+1)+a3x·[cos(2x+1)]′

     =a3x·lna·(3x)′cos(2x+1)+a3x[-sin(2x+1)](2x+1)′

     =3a3xlna·cos(2x+1)-2a3x·sin(2x+1)

     =a3x[3lna·cos(2x+1)-2sin(2x+1)].

 


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