# 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.