Question

use
the second derivative test to find the reltive extrema if any f(x)=
2x^3-3x^2-12x+5

Answer #1

The answer sheet has two pages.it is the first pagesecond/last page

use the second derivative test to find the relative extrema if
any of the function f(x)=x+576/x

1.) Use the second derivative test to find the relative extrema
for f(x) = x4 – x3 - (1/2)x2 + 11. Also find all inflection points,
discuss the concavity of the graph and sketch the graph.

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) = x3 − 15x
(a) relative maximum (x,y) = ____
(b) relative minimum (x,y) = ____

the function f given by f(x)=2x^3-3x^2-12x has a relative
minimum at x=

10. Use the Second Derivative Test to find the local extrema of
the function ?(?, ?) = ?3 + 2?? − 6? − 4?2
.

f(x)= (x^2+2x-1)/x^2)
Find the
a.) x-intercept
b.) vertical and horizontal asymptote
c.) first and second derivative
d.) Is it increasing or decreasing? Identify any local
extrema
e.) Is it concave up and down? Identify any points of
reflection.

use the definition of the derivative to find
f′(3) if f(x) = x^2 - 2x

f(x)= x^4-2x^2-3. Using the first derivative test, find:
a. All critical Numbers
b. Intervals on which f(x) is increasing or decreasing
c. location and value of all relative extrema

4. Given the function y = f(x) = 2x^3 + 3x^2 – 12x +
2
a. Find the intervals where f is increasing/f is
decreasing
b. Find the intervals where f is concave up/f is concave
down
c. Find all relative max and relative min (state which
is which and why)
d. Find all inflection points (also state
why)

1. Let f(x)=−x^2+13x+4
a.Find the derivative f '(x)
b. Find f '(−3)
2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded
to 2 decimal places.
f '(3)=
3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x).
f '(x)=
4. Find the derivative of the function f(x)=√x−5/x^4
f '(x)=
5. Find the derivative of the function f(x)=2x−5/3x−3
f '(x)=
6. Find the derivative of the function
g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your
answer.
g '(x)=
7. Let f(x)=(−x^2+x+3)^5
a. Find the derivative....

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