Error functions and Curve sketching

Description
Error function is derived through approximation of derivatives. Change of speed of a satellite is calculated here. Quadratic approximation is explained in details with the help of examples. How to draw the graph of a function using the derivatives and higher derivatives of the function is explained in this video.
Prof. Haynes Miller, Maths,18.01 Single Variable Calculus, Fall 2006: 9. Approximations (cont.); curve sketching, Massachusetts Institute of Technology: MIT OpenCourseWare),http://ocw.mit.edu (Accessed July,7,2011). License: Creative Commons BY-NC-SA:http://ocw.mit.edu/terms/#cc