Question

Infection Points?

Answer 1

infection?

Answer 2

What do inflection points tell me about f'(x)?

Answer 3

sorry infliction

Answer 4

are you going to inflict an infection on us?

Answer 5

it tells you nothing about f'(x). iff f''(c) = 0, then f'(c) could be anything.

Answer 6

http://en.wikipedia.org/wiki/Inflection_point

Answer 7

unless you meant to ask what it says about the function, then that's where the function changes concavity

Answer 8

okay thanks

Answer 9

If x is an inflection point for f then the second derivative, f″(x), is equal to zero if it exists, but this condition does not provide a sufficient definition of a point of inflection. One also needs the lowest-order (above the second) non-zero derivative to be of odd order (third, fifth, etc.). If the lowest-order non-zero derivative is of even order, the point is not a point of inflection, but an undulation point. However, in algebraic geometry, both inflection points and undulation points are usually called inflection points. An example of such an undulation point is y = x4 for x=0.

It follows from the definition that the sign of f′(x) on either side of the point (x,y) must be the same. If this is positive, the point is a rising point of inflection; if it is negative, the point is a falling point of inflection.