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13 Nov 2019
3. For some function f(x), the graph of f'(r) the derivative of f(x)-and the graph of f(x) the second derivative of f(x) are plotted below. Note that neither of these graphs is the graph of f(x) itself fr) f(r) ã Use the information contained in the graphs to answer the following. (a) (6pts) Where are the critical points of f(x)? (Justify for your response, with refer- ence to the graphs.) (b) (6pts) Use the second derivative test to identify each critical point of f(x) as a local max. or a local in If the second derivative test is inconclusive, then say so (there is no need to identify the critical point as a local max. or a local min. in that case) (c) (6 pts) Does f(z) have a point of inflection at = 0? Answer yes or no, and explain in terms of the graphs
3. For some function f(x), the graph of f'(r) the derivative of f(x)-and the graph of f(x) the second derivative of f(x) are plotted below. Note that neither of these graphs is the graph of f(x) itself fr) f(r) ã Use the information contained in the graphs to answer the following. (a) (6pts) Where are the critical points of f(x)? (Justify for your response, with refer- ence to the graphs.) (b) (6pts) Use the second derivative test to identify each critical point of f(x) as a local max. or a local in If the second derivative test is inconclusive, then say so (there is no need to identify the critical point as a local max. or a local min. in that case) (c) (6 pts) Does f(z) have a point of inflection at = 0? Answer yes or no, and explain in terms of the graphs
Nelly StrackeLv2
1 Feb 2019