Question

(1 point) The function f(x)=3x+5x^−1 has one local minimum and one local maximum.

This function has a local maximum at x= _____with value______ and a local minimum at x= ______with value_____

Answer #1

(1 point) The function f(x)=−2x^3+21x^2−36x+11 has one local
minimum and one local maximum.
This function has a local minimum at x equals ______with value
_______and a local maximum at x equals_______ with value_______

The function f(x)=9x-2x^(-1) has one local minimum and one local
maximum. The function has a local maximun at x=? with value ?. The
function has a local minimum at x=? with value ?

1) The function f(x)=2x3−33x2+108x+3f(x)=2x3-33x2+108x+3 has one
local minimum and one local maximum. Use a graph of the function to
estimate these local extrema.
This function has a local minimum at x
= with output value =
and a local maximum at x = with output
value =
2) The function f(x)=2x3−24x2+42x+7 has one local minimum and
one local maximum. Use a graph of the function to estimate these
local extrema.
This function has a local minimum at x
= with output value =...

The function f(x)=2x3−36x2+120x+8f(x)=2x3-36x2+120x+8 has one
local minimum and one local maximum.
This function has a local minimum at x =
with function value
and a local maximum at x =
with function value

For the function , (1)/(3)x^(3)-3x^(2)+8x+11
1)at x=, f(x) attains a local maximum value of
f(x)
2)at x=, f(x) attains a local minimum value of f(x)

Use analytical methods to find all local extrema of the function
f(x)=3x^1/x for x>0.
The function f has an absolute maximum of ? at x=?
The function f has an absolute minimum of ? at x=?

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) =
xy − 5x − 5y
− x2 −
y2
local
maximum value(s)
local
minimum value(s)
DNE
saddle
point(s)
(x, y,
f)
=DNE

Find the local maximum and minimum values and saddle point(s) of
the function f ( x , y ) = f(x,y)=xe^(-2x2-2y2). If there are no
local maxima or minima or saddle points, enter "DNE."
The local maxima are at ( x , y ) = (x,y)= .
The local minima are at ( x , y ) = (x,y)= .
The saddle points are at ( x , y ) =

(1 point) Consider the function f(x)=2−5x^2,−4≤x≤2
The absolute maximum value is
and this occurs at x equals
The absolute minimum value is
and this occurs at x equals

1. f(x)= x3/x2-4
f(x) has one local maximum and one local minimum occuring at x
values : what is the xmax and xmin?

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