Difference between revisions of "009A Sample Final 1, Problem 9"

Revision as of 21:57, 1 February 2016

Given the function $f(x)=x^{3}-6x^{2}+5$ ,

a) Find the intervals in which the function increases or decreases.

b) Find the local maximum and local minimum values.

c) Find the intervals in which the function concaves upward or concaves downward.

d) Find the inflection point(s).

e) Use the above information (a) to (d) to sketch the graph of $y=f(x)$ .

Foundations:

Solution:

(a)

(b)

Step 2:

Step 3:

(c)

Step 1:

(d)

Step 1:

(e)

Step 1:

@@ Line 70: / Line 70: @@
 '''(c)'''
+{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+!Step 1: &nbsp;
+|-
+|
+|-
+|
+|}
+{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+!Step 2: &nbsp;
+|-
+|
+|-
+|
+|-
+|
+|}
+'''(d)'''
+{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+!Step 1: &nbsp;
+|-
+|
+|-
+|
+|}
+{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+!Step 2: &nbsp;
+|-
+|
+|-
+|
+|-
+|
+|}
+'''(e)'''
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
@@ Line 96: / Line 136: @@
 |'''(b)'''
 |-
 |'''(c)'''
+|-
+|'''(d)'''
+|-
+|'''(e)'''
 |}
 [[009A_Sample_Final_1|'''<u>Return to Sample Exam</u>''']]