f(x)=x4−8x2
a. Interval(s) of increase/decrease
b. Local maximum and minimum values as coordinates (x,y)
c. Intervals...
f(x)=x4−8x2
a. Interval(s) of increase/decrease
b. Local maximum and minimum values as coordinates (x,y)
c. Intervals of concavity
d. Inflection points as coordinates (x,y)
e. Y-intercepts as coordinates
f. X-intercepts as coordinates
ind the intervals of increase or decrease, the local maximum and
minimum values, the intervals of concavity, and the inflection
points for each of the following:
?(?)=2?^3―3?^2―12?
?(?)= ? (Square root) ?+3
?(?)=ln(?^4+27)
Find the intervals of increase and decrease, find the local
maximum and minimum values, find the intervals of concave up and
concave down, find the inflection points and sketch the graph
f(deta) = 2cos(deta)+cos^2(deta), 0<=deta<=2pi
1.) Find the local maximum and minimum values and saddle
point(s) (x,y,f) of the function. If you have three-dimensional
graphing software, graph the function with a domain and viewpoint
that reveal all the important aspects of the function. (Enter your
answers as a comma-separated list. If an answer does not exist,
enter DNE.)
f (x, y) = xy − 5x − 5y − x2 − y2
2.)Find the local maximum and minimum values and saddle
point(s)(x,y,f) of the function. If...
Find the absolute maximum and absolute minimum values of
f on the given interval.
f(x) = x3 − 5x + 8, [0, 3]
absolute minimum value
absolute maximum value
Find the absolute maximum and absolute minimum values of
f on the given interval.
f(x) = 4x3 −
6x2 − 144x +
5,
[−4, 5]
absolute minimum
absolute maximum
1-f(x) =1/8(7x-2), x ≤ 3
a-absolute maximum value b-absolute minimum value
c-local maximum value(s) d-local minimum value(s)
2-Show that the equation x3 − 16x + c = 0
has at most one root in the interval [−2, 2].
3-If f(1) = 10 and f '(x) ≥ 3
for 1 ≤ x ≤ 4, how small can f(4) possibly
be?