One of the important reasons for being able to find the derivative is to find the equation of tangent lines. Additionally, the normal line, which is related to the tangent line, is an important feature of many functions. Why is it called a normal line? I feel like there is a joke here, but I can't think of a good punch line.
Things you should be able to do after today:
- Given a function, determine the equation of a tangent line at a specific point
- Given a function, determine the equation of the normal line at a specific point
- Find the location of any points with a specific, given slope of a tangent or normal
- p120 #25, 27-30, 31, 33, 34, 36, 37, 39