Question

Let f (x) = 2x^{3} + 3x^{2} −12x + 6.

(1) Find the intervals of increase or decrease.

(2) Find the local maximum and minimum values.

(3) Find the intervals of concavity and the inflection points. (d) Use the information from parts (a)-(c) to sketch the graph

Answer #1

Suppose f(x) = 2x3 + 3x2 - 12x + 1.
a)
- find the domain,
- intervals of increase/decrease (on number line),
- intervals of concavity (on number line),
- turning points (on number line)
- and inflection points (on number line)
b)
Sketch the graph of 2x3 + 3x2 - 12x + 1
and clearly label turning points, inflection points, and the
y-intercept
Please share your step by step neatly
Thank you so much!

Find the intervals of increase or decrease.
Find the local maximum and minimum values.
Find the intervals of concavity and the inflection points.
Use the information from parts (a), (b), and (c) to sketch the
graph. Check your work with a graphing device if you have one.
f(x)=x(sqr x-6)

Let f(x)=2x^3 - 9x^2 +12x -4
Find the intervals of which f is increasing or decreasing
Find the local maximum and minimum values of f
Find the intervals of concavity and the inflection points

Let f (x) = −x^4− 4x^3. (i) Find the intervals of
increase/decrease of f . (ii) Find the local extrema of f (values
and locations). (iii) Determine the intervals of concavity. (iv)
Find the location of the inflection points of f. (v) Sketch the
graph of f

If f(x)-x^3-3x;
a) find the intervals on which f is increasing or
decreasing.
b)find the local maximum and minimum values
c)find the intervals of concavity and inflection points
d)use the information above to sketch and graph of f

Find the intervals of increase or decrease.
Find the local maximum and minimum values.
Find the intervals of concavity and the inflection points.
Use the information from parts (a), (b), and (c) to sketch the
graph. Check your work with a graphing device if you have one.
c(x)=x^1/3 (x+4)

Find the intervals of increase or decrease. Find the local
maximum and minimum values. Find the intervals of concavity and the
inflection points. Use the information from parts (a), (b), and (c)
to sketch the graph. Check your work with a graphing device if you
have one.
f(theta)=2 cos(theta)+cos^2(theta) , 0 lessthan or equal to
theta thenthan or equal to 2pi
.

Let f(x) = x3 + 3x2 - 24x - 10
a) Find the intervals on which f is increasing/decreasing, and
find all local maximum and local minimum values of f.
b) Find all intervals on which f is concave up/concave down, and
find all inflection points of f.

For the function f(x)=2x3-18x2+48x+3,
determine the following:
a) Domain
b)Intervals of increase or
decrease
c)Local max or min
values
d)Intervals of concavity and
points of inflection

For the curve f(x) = 2x 3 − 9x 2 + 12x − 5, find (i) the local
maximum and minimum values, (ii), the intervals on which f is
increasing or decreasing, and (iii) the intervals of concavity and
the inflection points.

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