I can determine the equation of tangents and normals at a given point.
https://www.youtube.com/watch?v=meONGezEXlI
MIT grad shows how to find the tangent line equation using a derivative (Calculus). To skip ahead: 1) For a BASIC example, skip to time 0:44. 2) For an example that uses the QUOTIENT RULE, skip to time 5:58. 3) For an example that uses TRIG FUNCTIONS and the CHAIN RULE for finding the equation of a tangent line, skip to time 11:35.
https://www.youtube.com/watch?v=WHnRyzXXT1U
Finding the Equation of a Tangent Line Using a Derivative. In this video, we find the slope and the equation of a tangent line simply by using the derivative!