Question
In: Math
Find the relative extrema, if any, of the function. Use the second derivative test, if applicable....
Find the relative extrema, if any, of the function. Use the second
derivative test, if applicable. (If an answer does not exist, enter
DNE.)
g(x)=x^3-6x
| relative maximum | (x, y) = ( , ) |
| relative minimum | (x, y) = ( , ) |
Solutions
Expert Solution
At first find out all critical points of the given function.
Then using second derivative test we find out the relative maximum
and relative minimum value of the given function. 
milcah answered 2 years agoRelated Solutions
Use the First Derivative Test to find the relative extrema of the function, if they exist....
Use the First Derivative Test to find the relative extrema of
the function, if they exist.
16. f(x) = x^4 - 18x^2 + 8
Use the Second Derivative Test to locate any relative extrema, if they exist. (Round your answers...
Use the Second Derivative Test to locate any relative extrema,
if they exist. (Round your answers to two decimal places. If an
answer does not exist, enter DNE.) f(x) = 1 3 x3 + 5 2 x2 + 6x − 5
relative maximum (x, y) = relative minimum (x, y) =
Here is a screenshot of the problem:
https://gyazo.com/7c25d969fc2d85eeee2bbafe0cec23a3
Use the First Derivative Test to find the exact location of all the relative extrema of...
Use the First Derivative Test to find the exact location of all
the relative extrema of the given function.
1. f(t) = t^3-3t^2, Domain [-1, +infinity)
2. f(x) = 3x^4-2x^3, Domain [1, +infinity)
3. f(x) = (x+1)^2/5. Domain [-2,0)
4. f(x) = √ x(x-1), Domain [0, infinity)
for parts 1-2 for use these answers/rules Find the relative extrema of the function Specifically: The...
for parts 1-2 for
use these answers/rules
Find the relative extrema of the function Specifically:
The relative maxima of f occur at x =
The relative minima of f occur at x =
The value of f at its relative minimum is
the value of f at its relative maximum is
Notes: Your answer should be a comma-separated list of values or
the word "none".
part 1)
f(x)=9x−(4/x)+6
part 2)
f(x)=(8x^2−7x+32)/(x)
part 3)
Use the derivative to find the vertex...
A/ Find the exact location of all the relative and absolute extrema of the function. HINT...
A/ Find the exact location of all the relative and absolute
extrema of the function. HINT [See Examples 1 and 3.] (Order your
answers from smallest to largest x.)
h(x) = 5(x − 1)2/3 with domain [0, 2]
B/Find the exact location of all the relative and absolute
extrema of the function. HINT [See Example 1.] (Order your answers
from smallest to largest x.)
k(x) = (2x/5)− (x − 1)2/5 with domain [0, + ∞]
C/Find the exact location of...
For the function f(x,y) = 4xy - x^3 - 2y^2 find and label any relative extrema...
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.
1. Solve the following below A) Use the second derivative test to find all the local...
1. Solve the following below
A) Use the second derivative test to find all the local maxima,
local minima and saddle points of f(x,y)=x^2 +xy+y^2 +y
B) Find the absolute minimum and maximum values of f (x, y) =
x^2 + y^2 − 2x on the closed triangular region with vertices (2,
0), (0, 2) and (0, −2). [First find interior critical points, then
critical points on the boundary, i.e. on each edge of the triangle.
Finally, include the vertices...
Find the exact location of all the relative and absolute extrema of the function. HINT [See...
Find the exact location of all the relative and absolute extrema
of the function. HINT [See Examples 1 and 3.] (Order your answers
from smallest to largest x.) h(x) = (x − 1)2/3 with domain [0, 2] h
has at (x, y) = . h has at (x, y) = . h has at (x, y) =
.
FOR ANSWER
please list the point and whether a
relative minimum a relative maximum an absolute minimum an
absolute maximum no extremum...
Find the exact location of all the relative and absolute extrema of the function. HINT [See...
Find the exact location of all the relative and absolute extrema
of the function. HINT [See Example 1.] (Order your answers from
smallest to largest x.)
f(x) = 117x4 − 78x3 with domain [−1,
+∞)
f has ---Select--- a relative minimum, a
relative maximum, an absolute minimum, an absolute maximum, no
extremum, at
(x, y) =
f has ---Select--- a relative minimum, a
relative maximum, an absolute minimum, an absolute maximum, no
extremum, at
(x, y) =
Find the exact location of all the relative and absolute extrema of the function. HINT [See...
Find the exact location of all the relative and absolute extrema
of the function. HINT [See Example 1.] (Order your answers from
smallest to largest x.)
g(x) = 2x3 − 6x + 3 with domain [−2, 2]
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