Read this section to understand the definition of a derivative. Work through practice problems 1-8.
Practice 1: The graph of is a line through the origin. The slope of the line is .
For all
Practice 2: so
At the point , the slope of the tangent line is so the equation of the tangent line is or .
Practice 3:
Practice 4:
Practice 5: See Fig. 16 for the graphs of and
Practice 6:
Practice 7: ,
Practice 8: