Normal line
1/x^n
The normal line is a line that is perpendicular to a given curve at a specific point. It intersects the curve at that point and is used to determine the slope of the curve at that same point. The normal line is important in calculus and differential equations as it is used to find the equation of the tangent line at a given point on the curve. The slope of the normal line is the negative reciprocal of the slope of the tangent line. In other words, if the tangent line has a slope of m, then the normal line has a slope of -1/m. The normal line is a useful tool for analyzing the behavior of curves and finding important points such as critical points and inflection points.
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