The tangent is perpendicular to the radius which joins the centre of the circle to the point P. As the tangent is a straight line, the equation of the tangent will be of the form y = m x + c.

17. Let [Math Processing Error] C be the curve [Math Processing Error] y = (x 1) 3 and let [Math Processing Error] L be the line [Math Processing Error] 3 y + x = 0 Find the equation of all lines that ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

But there's a trick that uses calculus and the magic of dividing by zero. Instead of finding the tangent line, it's much easier to find the slope of a line that touches the curve at two points. If ...