For each function given below, find the open intervals of
increase/decrease, all local extreme values, the...
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
Find all local extreme values of the given function and identify
each as a local maximum, local minimum, or saddle point of the next
functions.
1) f(x, y) = e-(x2 + y2 - 16x)
2) f(x, y) = x2 + 100 - 20x cos y; -π < y <
π
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
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 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
given the function y=x+cosx on the interval [0,2pi] find the
intervals of increasing and decreasing, local or absolute
extrema(s), the intervals of concavity and the inflection points.
use the information to sketch the graph of y=x+cosx on the interval
[0,2pi]
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
a.
find the open intervals on which the function is increasing and
decreasing.
b. identify the functions local and absolute extreme values,
if any, saying where they occur.
g(x)=x^4-4x^3+4x^2
f(x)=e^x/(x+1)
Find the vertical and horizontal asymptotes using limits. Also,
intervals of increase and decrease, local extrema. Finally, find
the intervals of concavity and points of inflection.