For f(x)= cos2x + sinx, find the intervals where the
function is increasing, decreasing, relative extrema,...
For f(x)= cos2x + sinx, find the intervals where the
function is increasing, decreasing, relative extrema, concavity,
and points of inflection on the interval [0,2π)
Solutions
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For the function f(x)=x^5-5x^3 determine:
a. Intervals where f is increasing or decreasing
b. Local minima and maxima of f,
c. Intervals where f is concave up and concave
down, and,
d. The inflection points of f
e. Sketch the curve and label any points you use in your
sketch.
For Calculus Volume One GIlbert Strange
f(x) = 7xex
(a) Find the intervals on which f is increasing or
decreasing. (Enter your answers using interval notation.)
(b) Find the local maximum and minimum values of f. (If an
answer does not exist, enter DNE.)
(c) Find the intervals of concavity and the inflection points.
(Enter your answers using interval notation.)
1) Find the intervals of increasing and decreasing for f(x) =
2x3 – 4x2.
2) Find the local minimum and maximum points, if any,
of
f(x) = 2x3 – 15x2 + 36x – 14. 3) Find the inflection points, if
any, of f(x) = 2x3 – 15x2 + 36x – 14. Give the intervals of
concavity upward and downward for f(x). 4) Find the absolute
maximum and minimum of f(x)= 2x3 – 15x2 + 36x – 14 on the interval...
Find the intervals where the graph of f(x)=2x^4-3x^2 is
increasing, decreasing, concave up and concave down. Find any
inflection points, local maxima, or local minima. If none exist,
write NONE. You must do number line sign charts to receive any
credit.
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)= x5 − 5x
Find the x− and y−intercept, critical numbers, increasing and
decreasing intervals, local minimum and maximum, f''(x), intervals
of concavity up and down, and inflection points.
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
For the function f(x,y) = 4xy - x^3 - 2y^2 find and label any
relative extrema or saddle points. Use the D test to classify. Give
your answers in (x,y,z) form. Use factions, not decimals.
a) Find the intervals over which f is increasing or
decreasing.
b) Find the local maximum and minimum values of f.
c) Find the concavity intervals and the inflection points.
a. ?(?) = 2x 3 + 3? 2 − 26?
b. ?(?) = 4x 3 + 3? 2 − 6? + 4
c. ?(?) = ? 4 − 2? 2 + 1