Answer
$y=-2x+2$
Work Step by Step
$y=x^{4}-3x^{2}+2$
$y'=4x^{3}-6x$
$y'=f'(1)=4(1)-6(1)$
$y'=f'(1)=-2$
use equation of a straight line $y-y_{1}=m(x-x_{1})$
$y-0=-2(x-1)$
$y=-2x+2$
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