[tex]\displaystyle\\f(x)=x^8-3x^4-x+6\\ \\f'(x)=8x^7-12x^3-1\\\\f'(x_0)=8*(-1)^7-12*(-1)^3-1=-8+12-1=\boxed{3}[/tex]
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[tex]\displaystyle\\f(x)=x^8-3x^4-x+6\\ \\f'(x)=8x^7-12x^3-1\\\\f'(x_0)=8*(-1)^7-12*(-1)^3-1=-8+12-1=\boxed{3}[/tex]