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August 31, 2015

Homework Help: Calculus (Urgent Help)

Posted by Veronica on Friday, July 25, 2008 at 4:38pm.

Okay, I need major help! Can someone tell me if these statements are true or false ASAP please. Thank you.

1. If ′(x) < 0 when x < c then (x) is decreasing when x < c.

True

2. The function (x) = x^3 3x + 2 is increasing on the interval -1 < x < 1.

False

3. If '(c) < 0 then (x) is decreasing and the graph of (x) is concave down when x = c.

True

4.A local extreme point of a polynomial function (x) can only occur when ′(x) = 0.

True

5. If ′(x) > 0 when x < c and ′(x) < 0 when x > c, then (x) has a maximum value when x = c.

False

6. If ′(x) has a minimum value at x = c, then the graph of (x) has a point of inflection at x = c.

False


7. If ′(c) > 0 and ″(c), then (x) is increasing and the graph is concave up when x = c.

True

8. If ′(c) = 0 then (x) must have a local extreme point at x = c.

False

9. The graph of (x) has an inflection point at x = c so ′(x) has a maximum or minimum value at x = c.

True

10. ′(x) is increasing when x < c and decreasing when x > c so the graph of (x) has an inflection point at x = c.

True

So yeah those are the questions (statements), if you can tell which ones are true / false or correct me on what I said that would be helpful. I put what I thought it was so if its wrong, please correct me! Thanks,

Veronica!!

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