[BREAKING] Modify checks and improve docs

[gdalle]

Warning

Breaking changes:

• remove check_hessian
• rename check_twoarg into check_inplace

Tip

Terminology overhaul in the docs: 1-argument/2-argument functions become out-of-place/in-place functions.
Not to be confused with out-of-place/in-place operators!

Preview link: https://gdalle.github.io/DifferentiationInterface.jl/DifferentiationInterface/previews/PR449

---

DI source

• Remove check_hessian and rename check_twoarg into check_inplace
• Rename internal traits

DI docs

• Adapt to new terminology
• Refresh tutorials

DI extensions

• Adapt to new internal traits

DI tests

• Remove uses of check_hessian

[codecov-commenter]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 98.52%. Comparing base (1069266) to head (3818158).
Report is 1 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #449      +/-   ##
==========================================
- Coverage   98.53%   98.52%   -0.01%     
==========================================
  Files         107      107              
  Lines        4295     4271      -24     
==========================================
- Hits         4232     4208      -24     
  Misses         63       63              

Flag	Coverage Δ
DI	98.67% <100.00%> (-0.02%)	⬇️
DIT	98.22% <100.00%> (ø)

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