Math

Find an equation of aline that is tangent to the curve f(x)+2cos3x and whose slope is a maximum?? Pleasee help!!

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  1. I think f(x)=2cos3x.
    f'(x)=-6sin3x
    maxf'(x)=6 if sin3x=-1 when x=-Pi/6
    f(-Pi/6)=0
    The equation of tangent
    y=6x+Pi

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