diff --git a/src/ForwardDiff.jl b/src/ForwardDiff.jl
index 93d3b246..d0bd6dab 100644
--- a/src/ForwardDiff.jl
+++ b/src/ForwardDiff.jl
@@ -8,7 +8,7 @@ if VERSION >= v"1.6"
 end
 using Random
 using LinearAlgebra
-
+using Base: require_one_based_indexing
 import Printf
 import NaNMath
 import SpecialFunctions
diff --git a/src/derivative.jl b/src/derivative.jl
index 5d7e5dab..accc2405 100644
--- a/src/derivative.jl
+++ b/src/derivative.jl
@@ -24,6 +24,7 @@ Set `check` to `Val{false}()` to disable tag checking. This can lead to perturba
 """
 @inline function derivative(f!, y::AbstractArray, x::Real,
                             cfg::DerivativeConfig{T} = DerivativeConfig(f!, y, x), ::Val{CHK}=Val{true}()) where {T, CHK}
+    require_one_based_indexing(y)
     CHK && checktag(T, f!, x)
     ydual = cfg.duals
     seed!(ydual, y)
@@ -42,6 +43,7 @@ This method assumes that `isa(f(x), Union{Real,AbstractArray})`.
 """
 @inline function derivative!(result::Union{AbstractArray,DiffResult},
                              f::F, x::R) where {F,R<:Real}
+    result isa DiffResult || require_one_based_indexing(result)
     T = typeof(Tag(f, R))
     ydual = f(Dual{T}(x, one(x)))
     result = extract_value!(T, result, ydual)
@@ -60,6 +62,7 @@ Set `check` to `Val{false}()` to disable tag checking. This can lead to perturba
 @inline function derivative!(result::Union{AbstractArray,DiffResult},
                              f!, y::AbstractArray, x::Real,
                              cfg::DerivativeConfig{T} = DerivativeConfig(f!, y, x), ::Val{CHK}=Val{true}()) where {T, CHK}
+    result isa DiffResult ? require_one_based_indexing(y) : require_one_based_indexing(result, y)
     CHK && checktag(T, f!, x)
     ydual = cfg.duals
     seed!(ydual, y)
diff --git a/src/gradient.jl b/src/gradient.jl
index f9f173eb..e5eac003 100644
--- a/src/gradient.jl
+++ b/src/gradient.jl
@@ -14,6 +14,7 @@ This method assumes that `isa(f(x), Real)`.
 Set `check` to `Val{false}()` to disable tag checking. This can lead to perturbation confusion, so should be used with care.
 """
 function gradient(f, x::AbstractArray, cfg::GradientConfig{T} = GradientConfig(f, x), ::Val{CHK}=Val{true}()) where {T, CHK}
+    require_one_based_indexing(x)
     CHK && checktag(T, f, x)
     if chunksize(cfg) == length(x)
         return vector_mode_gradient(f, x, cfg)
@@ -32,6 +33,7 @@ This method assumes that `isa(f(x), Real)`.
 
 """
 function gradient!(result::Union{AbstractArray,DiffResult}, f::F, x::AbstractArray, cfg::GradientConfig{T} = GradientConfig(f, x), ::Val{CHK}=Val{true}()) where {T, CHK, F}
+    result isa DiffResult ? require_one_based_indexing(x) : require_one_based_indexing(result, x)
     CHK && checktag(T, f, x)
     if chunksize(cfg) == length(x)
         vector_mode_gradient!(result, f, x, cfg)
diff --git a/src/hessian.jl b/src/hessian.jl
index 7de6109d..72ffbcde 100644
--- a/src/hessian.jl
+++ b/src/hessian.jl
@@ -12,6 +12,7 @@ This method assumes that `isa(f(x), Real)`.
 Set `check` to `Val{false}()` to disable tag checking. This can lead to perturbation confusion, so should be used with care.
 """
 function hessian(f, x::AbstractArray, cfg::HessianConfig{T} = HessianConfig(f, x), ::Val{CHK}=Val{true}()) where {T,CHK}
+    require_one_based_indexing(x)
     CHK && checktag(T, f, x)
     ∇f = y -> gradient(f, y, cfg.gradient_config, Val{false}())
     return jacobian(∇f, x, cfg.jacobian_config, Val{false}())
@@ -28,6 +29,7 @@ This method assumes that `isa(f(x), Real)`.
 Set `check` to `Val{false}()` to disable tag checking. This can lead to perturbation confusion, so should be used with care.
 """
 function hessian!(result::AbstractArray, f, x::AbstractArray, cfg::HessianConfig{T} = HessianConfig(f, x), ::Val{CHK}=Val{true}()) where {T,CHK}
+    require_one_based_indexing(result, x)
     CHK && checktag(T, f, x)
     ∇f = y -> gradient(f, y, cfg.gradient_config, Val{false}())
     jacobian!(result, ∇f, x, cfg.jacobian_config, Val{false}())
@@ -62,6 +64,7 @@ because `isa(result, DiffResult)`, `cfg` is constructed as `HessianConfig(f, res
 Set `check` to `Val{false}()` to disable tag checking. This can lead to perturbation confusion, so should be used with care.
 """
 function hessian!(result::DiffResult, f, x::AbstractArray, cfg::HessianConfig{T} = HessianConfig(f, result, x), ::Val{CHK}=Val{true}()) where {T,CHK}
+    require_one_based_indexing(x)
     CHK && checktag(T, f, x)
     ∇f! = InnerGradientForHess(result, cfg, f)
     jacobian!(DiffResults.hessian(result), ∇f!, DiffResults.gradient(result), x, cfg.jacobian_config, Val{false}())
diff --git a/src/jacobian.jl b/src/jacobian.jl
index bcda61d7..1d3fc368 100644
--- a/src/jacobian.jl
+++ b/src/jacobian.jl
@@ -16,6 +16,7 @@ This method assumes that `isa(f(x), AbstractArray)`.
 Set `check` to `Val{false}()` to disable tag checking. This can lead to perturbation confusion, so should be used with care.
 """
 function jacobian(f, x::AbstractArray, cfg::JacobianConfig{T} = JacobianConfig(f, x), ::Val{CHK}=Val{true}()) where {T,CHK}
+    require_one_based_indexing(x)
     CHK && checktag(T, f, x)
     if chunksize(cfg) == length(x)
         return vector_mode_jacobian(f, x, cfg)
@@ -33,6 +34,7 @@ stored in `y`.
 Set `check` to `Val{false}()` to disable tag checking. This can lead to perturbation confusion, so should be used with care.
 """
 function jacobian(f!, y::AbstractArray, x::AbstractArray, cfg::JacobianConfig{T} = JacobianConfig(f!, y, x), ::Val{CHK}=Val{true}()) where {T, CHK}
+    require_one_based_indexing(y, x)
     CHK && checktag(T, f!, x)
     if chunksize(cfg) == length(x)
         return vector_mode_jacobian(f!, y, x, cfg)
@@ -53,6 +55,7 @@ This method assumes that `isa(f(x), AbstractArray)`.
 Set `check` to `Val{false}()` to disable tag checking. This can lead to perturbation confusion, so should be used with care.
 """
 function jacobian!(result::Union{AbstractArray,DiffResult}, f, x::AbstractArray, cfg::JacobianConfig{T} = JacobianConfig(f, x), ::Val{CHK}=Val{true}()) where {T, CHK}
+    result isa DiffResult ? require_one_based_indexing(x) : require_one_based_indexing(result, x)
     CHK && checktag(T, f, x)
     if chunksize(cfg) == length(x)
         vector_mode_jacobian!(result, f, x, cfg)
@@ -73,6 +76,7 @@ This method assumes that `isa(f(x), AbstractArray)`.
 Set `check` to `Val{false}()` to disable tag checking. This can lead to perturbation confusion, so should be used with care.
 """
 function jacobian!(result::Union{AbstractArray,DiffResult}, f!, y::AbstractArray, x::AbstractArray, cfg::JacobianConfig{T} = JacobianConfig(f!, y, x), ::Val{CHK}=Val{true}()) where {T,CHK}
+    result isa DiffResult ? require_one_based_indexing(y, x) : require_one_based_indexing(result, y, x)
     CHK && checktag(T, f!, x)
     if chunksize(cfg) == length(x)
         vector_mode_jacobian!(result, f!, y, x, cfg)