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 21 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.