Question

for the graphs f' over what interval is f increasing or decreasing does f have a local maxima or minima if so which and where

Answer 1

@brainshot3 you helped me the other day what do you think of this

Answer 2

f'(x) > 0 when x >0, so increasing on domain (0, infinity)
f'(x) <0 when x<0, so decreasing on domain (-infinity, 0)

Answer 3

because its decreasing before x=0 and increasing after, what does that tell you about a max or min?

Answer 4

Yes, as Dockworker said, don't forget that plugging in the critical value into the second derivative and ending up with a negative is a maxima and if it is positive, then it is a minima. With that insight you should be able to find your answer.

Answer 5

Thankss all