Question

For the function f(x)=x^5+5x^4-4. Write "none" if there isn't an answer.

(a) find all local extrema of this function, if any, and increasing and decreasing intervals.

Local max:___ Local min:___ Increasing:___ Decreasing:___

(b) Find all the inflection points of this function, if ay. And concave up and concave down intervals.

Inflection points:___ concave up:___ concave down:___

(c) Use part a and b to sketch the graph of the function. Must label important points and show proper concavity.

Answer #1

For f(x) xe-x
( a) Find the local extrema by hand using the first derivative
and a sign chart. b) Find the open intervals where the function is
increasing and where it is decreasing. c) Find the intervals of
concavity and inflection points by hand. d) Sketch a reasonable
graph showing all this behavior . Indicate the coordinates of the
local extrema and inflections.

For f(x) = 2x4 - 4x2 + 1 find the open
intervals in which the function is increasing and decreasing.
Find open intervals where the function is concave up and concave
down.
Sketch the graph of the function - label all local maximums, all
local minimums, and any inflection points.

For the function
f(x) =x(x−4)^3
•
Find all
x-intercepts and find the
y-intercept
•
Find all critical numbers,
•
Determine where the function is increasing and where it is
decreasing,
•
Find and classify the relative extrema,
•
Determine where the function is concave up and where it is
concave down,
•
Find any inflection points, and Use this information to sketch
the graph of the function.
•
Use this information to sketch the graph of the function.

consider the function
f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and
f''(x)=-10x^2-9x+5/(x^2+1)^5/2
a) find the local maximum and minimum values. Justify your
answer using the first or second derivative test . round your
answers to the nearest tenth as needed.
b)find the intervals of concavity and any inflection points of
f. Round to the nearest tenth as needed.
c)graph f(x) and label each important part (domain, x- and y-
intercepts, VA/HA, CN, Increasing/decreasing, local min/max values,
intervals of concavity/ inflection points of f?

1. For the function y=x^1/3(x+4), find
a. Find where the function is increasing and decreasing
b. Local max and mins
c. Intervals of concave up and concave down
d. Points of inflection.
Include y-values

6. Let ?(?) be a continuous function defined for all real
numbers, with?'(?)=(?−1)2(?−3)3(?−2)
and
?''(?) = (? − 1)(3? − 7)(2? − 3)(? − 3)2.
On what intervals is ? increasing and decreasing?
Increasing on:
Decreasing on:
Find the x-coordinate(s) of all local minima and maxima of
?.
Local min at x=__________________
Local max at x=_________________
c. On what intervals if ? concave up and concave down?
Concave up on:
Concave down on:
d. Find the x-coordinate(s) of points of...

let
f(x) = x^4 -4x+10, Find the intervals of increase and decrease.
for the same function find relative extrema as ordered
pairs.
for the same function find intervals of concavity (concave
up/down) and any inflection points as ordered pairs.

find the graph g(x) x^4+2x^3+1; (1)fint the intervals on which
g(x) is increasing or decreasing (2)find local max and min (3)find
the intervals of concavity and the inflection points.

f(x) = 10/cos-1(x). Use calculus to determine: a) all critical
values b) any local extrema c) any absolute extrema d) the
intervals where f is increasing/decreasing e) any points of
inflection rounded to the thousandths place f) intervals where f is
concave up/down

For
the function y = -4x^3 + 1/2x^4 + 150 :
a. write down the formula of the function you are
analysing
b. find the intervals of increase/decrease
c. find the local max/min values, the intervals of concave
up/down and the points of inflection,
d.) sketch the graph of the function, ensuring that your graph
displays the feautures found above

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 20 seconds ago

asked 21 seconds ago

asked 12 minutes ago

asked 17 minutes ago

asked 31 minutes ago

asked 39 minutes ago

asked 39 minutes ago

asked 39 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago