Question

d. Using the equations for part c .. fill in the blanks (don't freak out of 1 problem worth 7 points) its just 1 part 0 0 0TrT1 1 -2 1 0 0T20 0 1 -2 0 0 1 -2 1T4 0 1 0 T30 し0 0 0 T5 4.(20 pts) OK .. some Simple Julia Code... Write a function called D2deriv(x,delx) which calculates the second derivative of a function T(x) at x by finite difference approximation using step size delx. Easily done in 3 lines of cod.e...

Answer 1

function check_derivative(f, g, x::Number)
    auto_g = derivative(f)
    return maximum(abs.(g(x) - auto_g(x)))
end

function check_gradient(f, g, x::Vector{T}) where T <: Number
    auto_g = gradient(f)
    return maximum(abs.(g(x) - auto_g(x)))
end

function check_second_derivative(f, h, x::Number)
    auto_h = second_derivative(f)
    return maximum(abs.(h(x) - auto_h(x)))
end

function check_hessian(f, h, x::Vector{T}) where T <: Number
    auto_h = hessian(f)
    return maximum(abs.(h(x) - auto_h(x)))
end