The following table gives values of the differentiable function .
x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
y | 1 | -3 | -5 | -2 | 1 | -1 | -2 | -4 | -6 | -8 | -9 |
Estimate the -values of critical points of
on the interval . Classify each critical point as a
local maximum, local minimum, or neither.
(Enter your critical points as comma-separated
xvalue,classification pairs. For example, if you found the
critical points
and
, and that the first
was a local minimum and the second neither a minimum nor a
maximum, you should enter
(-2,min), (3,neither).
Enter
none
if there are no critical points.)
critical points and classifications:
Now assume that the table gives values of the continuous function
(instead of ). Estimate and classify critical
points of the function .
critical points and classifications:
You can earn partial credit on this problem.