Newton’s method, Exercise 4

f4(x) = x^(-2) - sin(x);
df4dx = x -> -2*x^(-3) - cos(x);

plot(f4, 0.5, 10)

inits = 1.:7.
x = zeros(length(inits))

for (i,y) in enumerate(inits)
    f = x -> f4(x) - y
    dfdx = x -> df4dx(x)
    r = FNC.newton(f,dfdx,y)
    x[i] = r[end]
end

pretty_table([inits x])