(c) Describe in words the process you would use to determine if g has a local maximum or minimum at :r = 4. 3. Let h(:c) = x3ln(1 3:5). (a Use the series for ln(1 + cc) expanded at as = O to obtain a Taylor series for h. ) (b) l ) Explain why your work in (a) shows that h has a critical point at w = 0. (c (d Suppose instead we attempted to use the second derivative test to classify the critical point. Without doing the calculation, what would have been the result of the test? Use the series found in (a) to classify the critical point. 4. The following problem will be useful later in the course. (3.) Use derivative rules to compute the derivative of In (sec(2:) +tan(a:)) . Simplify your answer as much as you can. (b) Use derivative rules to compute the derivative of In ( sec(:c) tan(m)). Simplify your answer as much as you can. (c) (This is the part to remember) Use the previous to parts to deduce the derivative of compute the derivative of In sec(a:) + tan(a:)|