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tmagloire1
 one year ago
Ap calc ab please help! thanks in advance
Which one of the following statements is true?
If f ′′(x) > 0 on the interval (a, b) then f(x) is concave down on the interval (a, b).
If f ′(x) > 0 on the interval (a, b) then f(x) is increasing on the interval (a, b).
If f ′(c) = 0, then x = c is a relative maximum on the graph of f(x).
None of these are true.
tmagloire1
 one year ago
Ap calc ab please help! thanks in advance Which one of the following statements is true? If f ′′(x) > 0 on the interval (a, b) then f(x) is concave down on the interval (a, b). If f ′(x) > 0 on the interval (a, b) then f(x) is increasing on the interval (a, b). If f ′(c) = 0, then x = c is a relative maximum on the graph of f(x). None of these are true.

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phi
 one year ago
Best ResponseYou've already chosen the best response.1concave down is \( \cap\) shaped say f(x)= x^2 (which we know is a parabola with \( \cup \) shape f'(x)= 2x and f''(x)= 2. f'(x) > 0 means the slope of the tangent line is rising. i.e. the function is rising f'(c) =0 means c could be a max, min or inflection.

tmagloire1
 one year ago
Best ResponseYou've already chosen the best response.0so in this case the answer is C since f'(c) =0 is the rel. max min inflect?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The second statement is correct also
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