They illustrate how to use derivatives to solve these problems.
If your edition of Feliciano & Uy has Chapter 4 as "Applications of Derivatives" (Maxima/Minima, Optimization), let me know and I will provide an entirely different guide covering the First Derivative Test, Concavity, and Optimization word problems. They illustrate how to use derivatives to solve
| Rule Name | Function Form | Derivative | | :--- | :--- | :--- | | | $y = c$ | $y' = 0$ | | Power | $y = x^n$ | $y' = nx^n-1$ | | Constant Multiple | $y = c \cdot u(x)$ | $y' = c \cdot u'(x)$ | | Sum/Difference | $y = u(x) \pm v(x)$ | $y' = u'(x) \pm v'(x)$ | | Product Rule | $y = u(x) \cdot v(x)$ | $y' = u'v + uv'$ | | Quotient Rule | $y = \fracu(x)v(x)$ | $y' = \fracu'v - uv'v^2$ | | Chain Rule | $y = f(g(x))$ | $y' = f'(g(x)) \cdot g'(x)$ | They illustrate how to use derivatives to solve