# Curvature and Osculating Circle

The graph of is shown in black. Its curvature function is shown in red.
Drag the slider to change , the x-value of point A (where the osculating circle to f is shown). You can also change using the input box.
Additional functions:
= normal line when x=a
= x-coordinate of osculating circle when x=a
= y-coordinate of osculating circle when x=a
= scalar used in calculation of center of osculating circle:

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