Increasing and decreasing function

[louie3006]

Homework Statement

y= x √6-x^2

Homework Equations

The Attempt at a Solution

 

[tiny-tim]

Hi louie3006!

y= x √6-x^2

erm … what's the question?

 

[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 ?

 

[e(ho0n3]

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

 

[rey242]

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

 

[louie3006]

thank you

 

[HallsofIvy]

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