[tex]k=y'(x_{0} )\\y(x)=2x^3+3x^2-4x +5\\y'(x)=6x^2+6x-4.\\y'(x_{0} )=y'(-2)=6(-2)^2+6(-2)-4=8.\\\\k=8.[/tex]
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[tex]k=y'(x_{0} )\\y(x)=2x^3+3x^2-4x +5\\y'(x)=6x^2+6x-4.\\y'(x_{0} )=y'(-2)=6(-2)^2+6(-2)-4=8.\\\\k=8.[/tex]