The question asks to find increasing/decreasing/concave up/concave down for:
So I found the first derivative using the quotient rule:
Simplified, I got it down to
Got a critical point at x=1, and did a first derivate sign test to find increasing/decreasing. Came out to increasing: (-i, 1] and decreasing: [1, i)
On to concavity, which is found through the second derivative. This is where I am stumped. The algebra is killing me, or I could've messed up on the first derivate. Anyway, without simplification I got:
Could someone help me simplify that, it's killing me
Thanks in advance!