Add public declarations

[mcabbott]

First commit adds only those in api.md, but perhaps we should add more... like Dual?

help?> ForwardDiff.Dual
│ Warning
│
│ The following bindings may be internal; they may change or be
│ removed in future versions:
│
│ • ForwardDiff.Dual

(eval is following this https://github.com/JuliaLang/julia/pull/55097/files )

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 86.96%. Comparing base (c310fb5) to head (e978ce2).
⚠️ Report is 69 commits behind head on master.

Additional details and impacted files

@@ Coverage Diff @@## master #744 +/- ##
==========================================
- Coverage 89.57% 86.96% -2.62% 
==========================================
Files 11 10 -1 Lines 969 959 -10 ==========================================
- Hits 868 834 -34 - Misses 101 125 +24 

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[gdalle]

This is a very welcome initiative to guarantee API stability! So many people have been using ForwardDiff internals that they're not really internals anymore at this point.
For instance, here is the list of names that DI uses:

https://github.com/JuliaDiff/DifferentiationInterface.jl/blob/ba8a2fa9e7558e65655aeedbc36158e41ea5e324/DifferentiationInterface/ext/DifferentiationInterfaceForwardDiffExt/DifferentiationInterfaceForwardDiffExt.jl#L7-L28

[gdalle]

Gentle bump on this one

[devmotion]

Maybe a bit more direct:

Suggested change

	eval(Meta.parse(
	"public derivative, derivative!, gradient, gradient!, jacobian, jacobian!,
	hessian, hessian!, DerivativeConfig, GradientConfig, JacobianConfig, HessianConfig"))
	eval(Expr(
	:public,
	:derivative,
	:derivative!,
	:gradient,
	:gradient!,
	:jacobian,
	:jacobian!,
	:hessian,
	:hessian!,
	:DerivativeConfig,
	:GradientConfig,
	:JacobianConfig,
	:HessianConfig))

[gdalle]

Can we also add:

 Chunk
Dual
Tag
checktag
extract_derivative
partials
pickchunksize
value

Those are used in DI so I think it's reasonable for them to be public here.

[gdalle]

Can we also add:

 Chunk
Dual
Tag
checktag
extract_derivative
partials
pickchunksize
value

Those are used in DI so I think it's reasonable for them to be public here.