Hey, could someone please guide me as to what to do next in this problem. Thanks!
f(x) = xe-(x^2)/2
Determine the intervals where f is increasing and where f is decreasing.
I've worked out the derivative, but am unsure how to proceed.
Update: I've worked out that the derivative is positive for -1 < x < 1 and negative for x > 1 and x < -1 ... but my working seems quite dodgy, just a bit of guidance would be great. Thanks.