Luckily we don't have any reason to believe there is any kind of "developmental concern": she speaks fairly well, she has a way better vocabulary than most children her age, etc, although I have started wondering if the rage that kicks in when she doesn't get what she wants is normal.
My parents were extremely, extremely, extremely - did I mention extremely? - strict. They would not have tolerated a tenth of what our daughter puts us through. Corporal punishments were not unusual when I was little. To be clear, we have of course never lifted a finger on her - it is typically her who hits us when she throws a tantrum.
My MIL tells us that my partner was a bit unruly, but not as much as our daughter.
DD divides her week between nursery and nanny. We are worried that the nanny is a bit too soft on her, and that more time at the nursery might be beneficial, but the flexibility the nanny gives us is very important with our kinds of work: not taking a whole week off when she's sick, being able to stay a bit longer in the office when we have to finish something, etc. Also, she gets a bit bored at nursery, and loves the activities she does with the nanny (e.g. swimming pool).
We get the impression she is on her absolute worst behaviour with us; I don't know if she wants to test us or what, but she's not as naughty at nursery nor with the nanny. No saint, but not as naughty.
No idea if it's the same with all kids, but ours doesn't seem to remember why she got so angry in the first place. She might kick and scream for 30 minutes over something as trivial as her favourite t-shirt being in the washing machine, but when she calms down and we try to talk to her about it, she always says she doesn't remember what happened.
During the summer heatwave, at one point I had to take her home from the playground because the sun was getting really intense. She started hitting me so hard that I had to carry her under my arm, restraining her arms, while she kicked her legs like a madman. When she does it at home we can let her scream and shout till she calms down, but outside it can be dangerous. Should I have let her there till she got a heatstroke?
It saddens me to admit it, but I often long for Monday to arrive, as at least I won't be subject to 12 hours of tantrums. It's sad, but realising it is also a big push in realising the situation is unbearable and something must be done.