In addition to what already has been said, put the runtime environment onto your checklist:
Memory:
If heavy IDE and other tools are open at the same time, available memory can become an issue. To check the memory profile, you may start a tool that monitors the memory usage of the machine.
If virtualization is used, check the memory assigned to the box. Try if assigning more memory improves behaviour.
If required and possible spend more memory to your machine. This should not be a bugfix to poorly written code. Bad code can blow up any size of memory.
File access:
TYPO3 reads and writes thousands of files. If you work with a contemporary SSD, this is surprisingly fast. I did measure this. Loading all class files of TYPO3 takes just a fraction of a second.
However this may look different if you do not work with a standard setup. Many factors may slow you down:
- USB-Sticks as storage.
- Memory cards as storage.
- All kind of external storage may be limited due to slow drivers.
- Virtualization can become an issue. Again it's a question of drivers.
In doubt test and store your files and DB on a different drive to compere the behaviour.
Routing
The database itself may be fast. A bad routing of your request may still slow you down. Think of firewalls, proxies etc. even on your local machine and specially if virtualisation is used.
Database connection:
I fast database connection is crucial. If the database access is slow TYPO3 can't be fast.
Especially due to Extbase TYPO3 often queries much more data than really required and more often than really required, because a lot of relations are resolved in the PHP layer instead of the DB layer itself. Loading data structures like the root line may cause a lot of ping-pong between the PHP and the DB layer.
I can't give advice, how to measure your DB-connection. You have to as your admin for that. What you always can do is to test and compare with another DB from a completely different environment.
The speed of the database may depend on the type of the database itself. Typically you use MySQL/Maria-DB which should be fast. It also depends on the factors mentioned above, memory, file access and routing.
Strategy:
Even without being and admin and knowing all performance tools, you can always exchange parts of your system and check if matters improve. By this approach you can localise the culprit without being an expert. Once having spotted the culprit, Google may help you to get more information.
When it comes to a clean and performant setup of routing or virtualisation it's still the best idea to ask an experienced admin.
Summary
This is all in addition to what others have already pointed to.
What would be really helpful would be a BE-Plugin, that analyses and measures the environment. May there are some out there I don't know.