cos2xsin3x

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设f(x)=(sin2xcos3x+cos2xsin3x)lnx,则f'(π/2)=

设f(x)=(sin2xcos3x+cos2xsin3x)lnx,则f'(π/2)=f(x)=(sin2xcos3x+cos2xsin3x)lnx=sin(5x)lnxf'(x)=5cos(5x)lnx+sin(5x)/x;代入得2/π