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Last minute DESPERATE q's OMFG!!!

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brendan:

--- Quote from: "Ahmad" ---
--- Quote from: "brendan" ---
--- Quote from: "Ahmad" --- f''[0] = 0, but clearly f'[x] changes sign.
--- End quote ---


if f'' is zero, then that implies that at that point f' is not changing.
--- End quote ---


Yeah but you're checking for sign changes on the sides of f'.
--- End quote ---


but you don't need f' to change sign for a point of inflection.

Ahmad:

--- Quote from: "coblin" ---Heh, it's a maths-debate.  :lol: (Had to say it)
--- End quote ---


Healthy discussion, not debate!

Collin Li:

--- Quote from: "Ahmad" ---
--- Quote from: "coblin" ---Heh, it's a maths-debate.  :lol: (Had to say it)
--- End quote ---


Healthy discussion, not debate!
--- End quote ---


Wanking is healthy.

Ahmad:
I thought you were trying to show that dy/dx does not change sign.

Anyway here is how I'd do it:
f''[a] = 0 and f'' changes sign at a. Therefore f'[a] is either a minimum or maximum and therefore does not change sign.

brendan:

--- Quote from: "Ahmad" ---I thought you were trying to show that dy/dx does not change sign.

Anyway here is how I'd do it:
f''[a] = 0 and f'' changes sign at a. Therefore f'[a] is either a minimum or maximum and therefore does not change sign.
--- End quote ---


what about the function f(x) = x^(1/3)

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