diff --git a/Project.toml b/Project.toml
index a57a60e..fd8f663 100644
--- a/Project.toml
+++ b/Project.toml
@@ -11,6 +11,7 @@ ExponentialFamily = "62312e5e-252a-4322-ace9-a5f4bf9b357b"
 ExponentialFamilyManifolds = "5c9727c4-3b82-4ab3-b165-76e2eb971b08"
 FastCholesky = "2d5283b6-8564-42b6-bb00-83ed8e915756"
 FillArrays = "1a297f60-69ca-5386-bcde-b61e274b549b"
+ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 Manifolds = "1cead3c2-87b3-11e9-0ccd-23c62b72b94e"
 ManifoldsBase = "3362f125-f0bb-47a3-aa74-596ffd7ef2fb"
@@ -22,6 +23,9 @@ Static = "aedffcd0-7271-4cad-89d0-dc628f76c6d3"
 StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
 StatsFuns = "4c63d2b9-4356-54db-8cca-17b64c39e42c"
 
+[weakdeps]
+ClosedFormExpectations = "70ff922c-62d4-418d-abfc-e284e489b734"
+
 [extensions]
 ClosedFormExpectationsExt = "ClosedFormExpectations"
 
@@ -30,6 +34,7 @@ BayesBase = "1.5.0"
 Bumper = "0.6"
 ClosedFormExpectations = "0.3.0"
 Distributions = "0.25"
+DomainSets = "0.7.16"
 ExponentialFamily = "2.0.0"
 ExponentialFamilyManifolds = "3.0.3"
 FastCholesky = "1.3"
@@ -47,13 +52,11 @@ StaticArrays = "1.9"
 StatsFuns = "1.3"
 julia = "1.10"
 
-[weakdeps]
-ClosedFormExpectations = "70ff922c-62d4-418d-abfc-e284e489b734"
-
 [extras]
 Aqua = "4c88cf16-eb10-579e-8560-4a9242c79595"
 BenchmarkTools = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
 ClosedFormExpectations = "70ff922c-62d4-418d-abfc-e284e489b734"
+DomainSets = "5b8099bc-c8ec-5219-889f-1d9e522a28bf"
 ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
 Hwloc = "0e44f5e4-bd66-52a0-8798-143a42290a1d"
 JET = "c3a54625-cd67-489e-a8e7-0a5a0ff4e31b"
@@ -66,4 +69,4 @@ StableRNGs = "860ef19b-820b-49d6-a774-d7a799459cd3"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [targets]
-test = ["Test", "Aqua", "BenchmarkTools", "ClosedFormExpectations", "Hwloc", "Plots", "Printf", "ForwardDiff", "Manifolds", "ReTestItems", "RollingFunctions", "JET", "StableRNGs"]
+test = ["Test", "Aqua", "BenchmarkTools", "ClosedFormExpectations", "DomainSets", "Hwloc", "Plots", "Printf", "ForwardDiff", "Manifolds", "ReTestItems", "RollingFunctions", "JET", "StableRNGs"]
diff --git a/src/ExponentialFamilyProjection.jl b/src/ExponentialFamilyProjection.jl
index 39adb1a..c55cfcd 100644
--- a/src/ExponentialFamilyProjection.jl
+++ b/src/ExponentialFamilyProjection.jl
@@ -1,5 +1,7 @@
 module ExponentialFamilyProjection
 
+using ForwardDiff
+
 using ExponentialFamily,
     ExponentialFamilyManifolds,
     BayesBase,
diff --git a/src/strategies/bonnet/gauss_newton.jl b/src/strategies/bonnet/gauss_newton.jl
index f1da51a..b77c40a 100644
--- a/src/strategies/bonnet/gauss_newton.jl
+++ b/src/strategies/bonnet/gauss_newton.jl
@@ -17,8 +17,43 @@ end
 
 get_nsamples(strategy::GaussNewton) = strategy.nsamples
 
-preprocess_strategy_argument(strategy::GaussNewton{S,TL}, argument::Any) where {S,TL} =
-    (strategy, convert(TL, argument))
+get_default_InplaceLogpdfGradHess(argument::ContinuousUnivariateLogPdf) = begin
+        function __logpdf!(out, x)
+            out[1] = argument.logpdf(x)
+            return out
+        end
+        function __grad_hess!(out_grad, out_hess, x)
+            # Note that for univariate, the gradient is the derivative 
+            # and the Hessian is the second derivative
+            out_grad .= ForwardDiff.derivative(argument.logpdf, x)
+            out_hess .= ForwardDiff.derivative(x -> ForwardDiff.derivative(argument.logpdf, x), x)
+            return out_grad, out_hess
+        end
+        default_inplace = InplaceLogpdfGradHess(__logpdf!, __grad_hess!)
+        return default_inplace
+end
+
+get_default_InplaceLogpdfGradHess(argument::ContinuousMultivariateLogPdf) = begin
+        function __logpdf!(out, x)
+            out[1] = argument.logpdf(x)
+            return out
+        end
+        function __grad_hess!(out_grad, out_hess, x)
+            out_grad .= ForwardDiff.gradient(argument.logpdf, x)
+            out_hess .= ForwardDiff.hessian(argument.logpdf, x)
+            return out_grad, out_hess
+        end
+        default_inplace = InplaceLogpdfGradHess(__logpdf!, __grad_hess!)
+        return default_inplace
+end
+
+preprocess_strategy_argument(strategy::GaussNewton{S,TL}, argument::Any) where {S,TL} = begin
+    if argument isa Union{ContinuousUnivariateLogPdf, ContinuousMultivariateLogPdf}
+        return (strategy, get_default_InplaceLogpdfGradHess(argument))
+    else
+        (strategy, convert(TL, argument))
+    end
+end
 preprocess_strategy_argument(::GaussNewton, argument::AbstractArray) = error(
     lazy"The `GaussNewton` strategy requires the projection argument to be a callable object (e.g. `Function`) or an `InplaceLogpdfGradHess`. Got `$(typeof(argument))` instead.",
 )
diff --git a/test/strategies/gauss_newton_tests.jl b/test/strategies/gauss_newton_tests.jl
index 9a8cbe6..7e367e6 100644
--- a/test/strategies/gauss_newton_tests.jl
+++ b/test/strategies/gauss_newton_tests.jl
@@ -321,3 +321,48 @@ end
         end
     end
 end
+
+@testitem "Test default GaussNewton strategy given ContinuousUni-/Multi-variateLogPdf" begin
+    using ExponentialFamily, BayesBase
+    import ExponentialFamilyProjection:
+        GaussNewton,
+        getstrategy,
+        preprocess_strategy_argument,
+        get_default_InplaceLogpdfGradHess
+    import ExponentialFamily:
+        NormalMeanVariance,
+        MvNormalMeanCovariance
+    import BayesBase: ContinuousUnivariateLogPdf, ContinuousMultivariateLogPdf
+    import LinearAlgebra: Diagonal
+    import DomainSets: ℝ3
+
+    # univariate case
+    a1 = NormalMeanVariance(-10,0.1)
+    my_logpdf(x) = logpdf(a1, x)
+    my_uni_continuous_logpdf = ContinuousUnivariateLogPdf(my_logpdf)
+    default_uni_inplace = get_default_InplaceLogpdfGradHess(my_uni_continuous_logpdf)
+    params = ProjectionParameters(niterations=2000, strategy = GaussNewton())
+    prj = ProjectedTo(NormalMeanVariance; parameters = params)
+
+    test_uni_cont_proj = project_to(prj, my_uni_continuous_logpdf)
+    test_uni_inplace_proj = project_to(prj, default_uni_inplace)
+    @test test_uni_cont_proj ≈ test_uni_inplace_proj atol=1e-6
+    @test test_uni_cont_proj isa NormalMeanVariance
+    @test mean(test_uni_cont_proj) ≈ mean(a1) atol=1e-6
+    @test var(test_uni_cont_proj) ≈ var(a1) atol=1e-6
+
+    # multivariate case
+    a2 = MvNormalMeanCovariance([1.3, -5, 30.0], Diagonal([0.5, 2.0, 1.0]))
+    my_logpdf(x) = logpdf(a2, x)
+    my_mv_continuous_logpdf = ContinuousMultivariateLogPdf(ℝ3, my_logpdf)
+    default_mv_inplace = get_default_InplaceLogpdfGradHess(my_mv_continuous_logpdf)
+    params = ProjectionParameters(niterations=2000, strategy = GaussNewton())
+    prj = ProjectedTo(MvNormalMeanCovariance, 3; parameters = params)
+
+    test_mv_cont_proj = project_to(prj, my_mv_continuous_logpdf)
+    test_mv_inplace_proj = project_to(prj, default_mv_inplace)
+    @test test_mv_cont_proj ≈ test_mv_inplace_proj atol=1e-6
+    @test test_mv_cont_proj isa MvNormalMeanCovariance
+    @test mean(test_mv_cont_proj) ≈ mean(a2) atol=1e-5
+    @test cov(test_mv_cont_proj) ≈ cov(a2) atol=1e-6
+end
\ No newline at end of file