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Calculus
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13 Nov 2019

F(x) = 2x^3 - 3x^2 -12x +12

Find the 2nd derivative.
A) name the 2nd derivative using the correct notation
B) note the x values of possible critical numbers from the 2nd derivative
C) Complete the real number line and indicate concavity
D) name the inflection point.

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Patrina Schowalter
Patrina SchowalterLv2
6 Jul 2019

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Related questions

1.For the given function f(x)=x^3-12x^2-60x+36, use either the 1st derivative or 2nd derivative test to calculate the following:

a). (5 pts) all critical points

b). (2 pts) draw the sign diagram

c). (2 pts) find all relative extreme points.

d). (3 pts) list the intervals where the function increases and decreases.

e). (4 pts) determine the inflection point

f). (3 pts) determine the intervals of concavity

g). (4 pts) sketch the graph

F(x) = 2x^3 - 3x^2 -12x +12

3.) Does the function have a horizontal asymptote?
Yes/no; if no explain why not
If yes; name the horizontal asymptote and place them on the graph

6.) what is the first derivative?
Note all possible critical numbers, place on a real number line, indicate where the function is increasing or decreasing , record the minimum and maximum
Generate the1st derivative using correct notation
What are all possible critical numbers?
Generate a real number line, indicate where the fuction is increasing and decreasing and record the maximums and minimums.

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