In this lesson on derivatives, the instructor demonstrates how to draw the graph of a function's derivative using the slope of the tangent line. Using various notations for indicating derivatives, such as F prime of x and dy/dx, the instructor identifies places on the graph where the slope is zero, positive, or negative. By understanding the correlation between the slope and value of the function, students can draw an approximate graph of the derivative. Overall, this lesson provides a helpful introduction to the concept of derivatives and how to apply them to graphing functions.
Looking at, using, and drawing graphs of functions to think about derivatives.