In Chapter 4, it was discovered that
Why does the derivative of
not exist at ?
What is the slope of the function at this point? Can you compute it?
differentiable at ? Why or why not?
Graph the function or evaluate the derivative at
No, the tangent is still vertical (and in this case there is a cusp).
Explain why there is a point of inflection at
What happens on either side of a point of inflection?What kind of change does a point of inflection signify?
DNE, there is still a point of inflection because the graph changes from concave up to concave down at .