how to code the cirle in the function graph

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how to code the cirle tangent to function graph when i move mouse on the graph

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Answer 1

John D'Errico 2022-10-22

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If you have a point moving along the curve, then you can know the x value of that point.
As well, compute y, at that x value. You must be able to do this, since you need to know the function itself.
Next, again, you know the function. It appears to be a sinusoid, with a linearly increaing amplitude. So you can compute the derivative, at that same value of x.
Knowing the derivative of the curve at that point (the slope of a line tangent to the curve), that slope allows you to compute the slope of a curve normal to the tangent. Just comute the negative reciprocal of the tangent slope, to give the slope of the normal to the curve.
Next, Given the known radius of the circle, Find a point that lies at that exact distance from the currrent point, at that slope. This will be the center of the circle.
Finally, civen the center of the circle, and its radius, draw the circle.

Just write the code. That is YOUR homework assignment, not mine.