MATH 1300-011 Grade That Justification 11/3/2015 A student was asked to find the
ID: 2850049 • Letter: M
Question
MATH 1300-011 Grade That Justification 11/3/2015 A student was asked to find the local and global maxima and minima of some given functions. Determine if the justifications for their answers are correct. Fix any justifications and conclusions that are wrong 2 since f, goes from increasing to 1. By the first derivative test, f(z) has a local max at z decreasing at. 2. 2. Since z--3 is it's only critical point in the domain, it is a local maximum. 3. (3) 0 so it has an inflection point at 3 -23 f(-2) = 5 f( )--23 f(-00)=0 f(oo) = oo Therefore f has a global minimum atand no global maximum. 4. The critical points of f are -oo) = 0 5. Since f"(3) = 0 and f"(3-4, by the second derivative test, it has a global maximum at 3.Explanation / Answer
1. We can't find maxima using first derivative test. For find maxima and minima we are using 2nd derivative test.
2. False. There is no such rule that critical point is maxima only.
3. Justification is correct.
4. True.
5.) True.
6. False. For a point to be maxima, We need f"(x) to be negative.
7. True.
8. True.
9. False. It can be maxima or minima.
10. False. We need to check values at 1 and 4.
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