Query derivative of DAE solution

Specific Domains Modelling & Simulations
,
1

Is there a way to query the derivative of the solution when solving a DAE?

function f(out, du, u, p, t)
    out[1] = - 0.04u[1] + 1e4 * u[2] * u[3] - du[1]
    out[2] = + 0.04u[1] - 3e7 * u[2]^2 - 1e4 * u[2] * u[3] - du[2]
    out[3] = u[1] + u[2] + u[3] - 1.0
  end
  u₀ = [1.0, 0, 0]
du₀ = [-0.04, 0.04, 0.0]
tspan = (0.0, 100000.0)

using DifferentialEquations
differential_vars = [true,true,false]
prob = DAEProblem(f, du₀, u₀, tspan, differential_vars=differential_vars)

using Sundials
sol = solve(prob, IDA())

sol.du
2

sol(t;Val{1})

3

Thanks!
Is it sol(t, Val{1})?

4

yes sorry.