can someone help me with this question????/

http://farm4.static.flickr.com/3002/...e2d4bf.jpg?v=0

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- Oct 14th 2008, 08:34 PMrachellediamond130calculus question help
can someone help me with this question????/

http://farm4.static.flickr.com/3002/...e2d4bf.jpg?v=0 - Oct 14th 2008, 08:49 PMnatashabu
Well since it's the graph of f', f is decreasing when f' is negative. f' is negative when it's below the x-axis.

and a local maximum is when f' is positive, then 0 (horizontal tangent), then negative..

local minimum when f' is going from negative, 0, and then positive again. - Oct 14th 2008, 08:52 PMmr fantastic
Here is what you need to know and use:

f is increasing when f' > 0.

f is decreasing when f' < 0.

Stationary point when f' = 0. Nature of stationary point. Use sign test:

Let a < b < c.

Local max at x = b if f'(b) = 0 and f'(a) > 0 and f'(c) < 0.

Local min at x = b if f'(b) = 0 and f'(a) < 0 and f'(c) > 0.