# What is the equation of the normal line of #f(x)=x^3-x^2+8x-9# at #x=-1#?

rArr f(-1)=-1-1-8-9=-19#.

Therefore, we require the eqn. of normal to the curve

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The equation of the normal line of f(x)=x^3-x^2+8x-9 at x=-1 is y = -10x - 1.

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