ind the intervals of increase or decrease, the local maximum and
minimum values, the intervals of...
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:
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
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
Find the local maximum and minimum values of the function.
Tell the intervals where the graph of the function is increasing
and decreasing
f(x)= 2x^3 +3x^2 - 12x
For each function given below, find the open intervals of
increase/decrease, all local extreme values, the intervals of
concavity, and inflection points.
(a) f(x) = x^2 + 2/x
(b) f(x) = xe^-x
Use a graph or level curves or both to find the local maximum
and minimum values and saddle points of the function. Then use
calculus to find these values precisely. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
f(x, y) =
9(x −
y)e−x2
− y2
local maximum value(s)
local minimum value(s)
saddle point(s)
(x, y, f)
=
Use a graph or level curves or both to find the local maximum
and minimum values and saddle points of the function. Then use
calculus to find these values precisely. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
f(x, y) =
5xye−x2 −
y2
local
maximum value(s)
local
minimum value(s)
saddle
point(s)
(x, y,
f)
=
(0,0,0)
Use a graph or level curves or both to find the local maximum
and minimum values and saddle points of the function. Then use
calculus to find these values precisely. (Enter your answers as a
comma-separated list. If an answer does not exist, enter DNE.)
f(x, y) = sin(x) + sin(y) + sin(x + y) +
8, 0 ≤ x ≤ 2π, 0 ≤ y
≤ 2π
Find the local maximum and minimum values and saddle point(s) 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) =
x3 + y3 −
3x2 − 9y2
− 9x
local maximum value(s)
local minimum value(s)
saddle point(s)
(x, y, f)
=