Equation of Normal Line

Rarely Tested

Equation of normal to curve $$y = f(x)$$ at point $$(x_1, y_1)$$ (normal is perpendicular to tangent):

$$y - y_1 = -\frac{1}{f'(x_1)} (x - x_1) \quad \mathrm{if} \quad f'(x_1) \neq 0$$

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