The derivatives module03

The document discusses the definition and calculation of the tangent line and derivative of functions. It provides examples of finding the equation of the tangent line to graphs at given points, as well as calculating the derivative of functions. The key points are: - The slope of the tangent line at a point (a, f(a)) on a graph y=f(x) is the limit of the slope of secant lines as they approach the point. - Examples show how to apply the definition of the tangent line to find the equation of the line for various functions at given points. - The derivative of a function f(x) is defined as the limit of the difference quotient, and represents the slope of the tangent