החשבון הדיפרנציאלי הדרוש

function expTaylor(x, terms = 8) {
  let sum = 1;
  let term = 1;
  for (let n = 1; n < terms; n += 1) {
    term *= x / n;
    sum += term;
  }
  return sum;
}

function centralDerivative(f, x, h = 1e-5) {
  return (f(x + h) - f(x - h)) / (2 * h);
}

const f = (t) => expTaylor(0.7 * t, 14);
console.log(f(1));                              // ≈ 2.01375
console.log(centralDerivative(f, 1));           // ≈ 1.40963
console.log(0.7 * f(1));                        // analytic derivative

def exp_taylor(x, terms=8):
    total = 1.0
    term = 1.0
    for n in range(1, terms):
        term *= x / n
        total += term
    return total

def central_derivative(f, x, h=1e-5):
    return (f(x+h) - f(x-h)) / (2*h)

f = lambda t: exp_taylor(0.7*t, 14)
print(f(1))                         # approximately 2.01375
print(central_derivative(f, 1))     # approximately 1.40963
print(0.7*f(1))                     # analytic derivative