Slope of tangent to y=f(x) at point (xโ,yโ): m = f'(xโ). Equation of tangent: y-yโ = m(x-xโ). Normal is perpendicular to tangent: slope of normal = -1/m. Equation of normal: y-yโ = (-1/m)(x-xโ). If tangent is horizontal: m=0. If tangent is vertical: m=undefined (normal is horizontal).
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