$Normal Line and Corners$

Normal Line and Corners

The normal line to a graph at a point and the corner points of a function on an interval.

What to find:

Normal line at a point

Corner points on an interval

f(x) =

x₀ =

Examples: x^2, sin x, abs(x^2 − 1). Numbers may be written as 1/2, pi/4.

This calculator writes the normal line to a graph at a point and searches for corner points on an interval.

y − f(x₀) = −¹/_f′(x₀) · (x − x₀)

Example. For f = x² at x₀ = 1 the normal is y = −x/2 + 3/2. The function |x² − 1| has corners at x = −1 and x = 1.

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