Difference between revisions of "009A Sample Final 1, Problem 8"
Jump to navigation
Jump to search
Kayla Murray (talk | contribs) (Created page with "{| class="mw-collapsible mw-collapsed" style = "text-align:left;" !Foundations: |- | |} '''Solution:''' '''(a)''' {| class="mw-collapsible mw-collapsed" style = "te...") |
Kayla Murray (talk | contribs) |
||
Line 1: | Line 1: | ||
+ | <span class="exam">Let | ||
+ | |||
+ | ::::::<math>y=x^3</math> | ||
+ | |||
+ | ::<span class="exam">a) Find the differential <math>dy</math> of <math>y=x^3</math> at <math>x=2</math>. | ||
+ | ::<span class="exam">b) Use differentials to find an approximate value for <math>1.9^3</math>. | ||
+ | |||
{| class="mw-collapsible mw-collapsed" style = "text-align:left;" | {| class="mw-collapsible mw-collapsed" style = "text-align:left;" | ||
!Foundations: | !Foundations: |
Revision as of 21:25, 1 February 2016
Let
- a) Find the differential of at .
- b) Use differentials to find an approximate value for .
Foundations: |
---|
Solution:
(a)
Step 1: |
---|
Step 2: |
---|
(b)
Step 1: |
---|
Step 2: |
---|
Step 3: |
---|
(c)
Step 1: |
---|
Step 2: |
---|
Final Answer: |
---|
(a) |
(b) |
(c) |