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anonymous
 one year ago
I'm having much more trouble with this than i should.
If the graph of f " (x) is continuous and has a relative maximum at x = c, which of the following must be true?
A. The graph of f has a relative maximum at x = c.
B. The graph of f has an inflection point at x = c.
C. The graph of f has a relative minimum at x = c.
D. None of the above is necessarily true.
anonymous
 one year ago
I'm having much more trouble with this than i should. If the graph of f " (x) is continuous and has a relative maximum at x = c, which of the following must be true? A. The graph of f has a relative maximum at x = c. B. The graph of f has an inflection point at x = c. C. The graph of f has a relative minimum at x = c. D. None of the above is necessarily true.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0First of all, do you know the definition of the second derivative. If you have a function f(x) and take the second derivative f''(x). What does that say? Hope that leads you somewhere.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well i know wherever f''(x) is positive f(x) is concave up and vice versa

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but i don't know much about what maxima and minima mean in the second derivative

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The second derivative tells you whether or not your point on f(x) is a local maximun or minimum. You can find, I think your answer here. https://en.wikipedia.org/wiki/Second_derivative_test

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No worries. Best of luck^^
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