This preview shows pages 1–2. Sign up to view the full content.
Section 3.6 (Homework)
MACE JOHN RANDALL
MA 141, section 007, Fall 2008
Instructor: Kyle Thompson
Web
Assign
Current Score:
17 out of 17
Due:
Saturday, October 4, 2008 10:08 PM EDT
Description
Implicit Differentiation
The due date for this assignment is past.
Your work can be viewed below, but no changes
can be made.
1. [SCalcCC2 3.6.02.] 2/2 points
You are given the following equation.
4
x
2
+ 9
y
2
= 36
(a) Find
y
' by implicit differentiation.
y
' =
(8x)/(18y)
(4x)/(9y)
(b) Solve the equation explicitly for
y
and differentiate to get
y
' in terms of
x
. (Note:
The answer expected below is the most natural answer that you will get if you
follow the procedure you learned in class and in the textbook. If you feel that your
answer is correct and it is marked as incorrect, please multiply your answer by 1
and submit again. If this does not correct the problem then the difficulty is in your
calculations and not in WebAssign's interpretation of your answer.)
y
' =
(1/2)((4/9)x^2+4)^(1/2)((8/9)x)
(2x)/(3sqrt(9x^2))
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 04/14/2009 for the course MA 141 taught by Professor Wears during the Spring '07 term at N.C. State.
 Spring '07
 WEARS
 Calculus

Click to edit the document details