- #1
louie3006
- 54
- 0
Homework Statement
y= x √6-x^2
Increasing and decreasing function
- Thread starter louie3006
- Start date
-
- Tags
- decreasing Function Increasing
Click For Summary
Homework Help Overview
The discussion centers around the function y = x √(6 - x²) and aims to determine whether the function is increasing or decreasing using the first derivative test.
Discussion Character
- Exploratory, Mathematical reasoning, Assumption checking
Approaches and Questions Raised
- Participants discuss the need to find the first derivative of the function and express uncertainty about how to compute it. There are suggestions to consider the product and chain rule for differentiation.
Discussion Status
Some participants are exploring different methods to compute the derivative, while others are clarifying the initial question and providing hints on how to approach the differentiation process.
Contextual Notes
There is an indication that the original poster may have constraints in their understanding of derivatives, which is influencing the discussion.
y= x √6-x^2
- #2
tiny-tim
Science Advisor
Homework Helper
- 25,837
- 258
Hi louie3006! 
erm
… what's the question? 
louie3006 said:
erm
… what's the question? - #3
louie3006
- 54
- 0
we need to find out if the function is increasing or decreasing by using the first derivative test and then setting it equal to zero, but i don't know how to get the 1st derivative of this thing ? any thoughts on that ?
- #4
e(ho0n3
- 1,349
- 0
Do you know how to compute derivatives? If you do, then you should be able to compute the derivative of 'that thing'.
- #5
rey242
- 40
- 0
look at product and chain rule, then everything should work out.
- #6
louie3006
- 54
- 0
thank you
- #7
HallsofIvy
Science Advisor
Homework Helper
- 42,895
- 983
Writing it as x(6- x^2)^{1/2} helps a lot.
Similar threads
- · Replies 10 ·
- · Replies 2 ·
- · Replies 3 ·
- · Replies 13 ·
- · Replies 8 ·