Increasing and decreasing function

1. Mar 29, 2009

louie3006

1. The problem statement, all variables and given/known data

y= x √6-x^2

2. Relevant equations

3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Mar 29, 2009

tiny-tim

Hi louie3006!
erm … what's the question?

3. Mar 29, 2009

louie3006

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. Mar 29, 2009

e(ho0n3

Do you know how to compute derivatives? If you do, then you should be able to compute the derivative of 'that thing'.

5. Mar 29, 2009

rey242

look at product and chain rule, then everything should work out.

6. Mar 30, 2009

louie3006

thank you

7. Mar 30, 2009

HallsofIvy

Staff Emeritus
Writing it as $x(6- x^2)^{1/2}$ helps a lot.