input: def compute_derivative(coefficients: list):
      """ coefficients represent the polynomial coefficients.
      coefficients[0] + coefficients[1] * x + coefficients[2] * x^2 + ....
       Return the derivative of the given polynomial in the same list format.
      >>> compute_derivative([3, 1, 2, 4, 5])
      [1, 4, 12, 20]
      >>> compute_derivative([1, 2, 3])
      [2, 6]
      """
output:     derivative = []
      for i in range(1, len(coefficients)):
          derivative.append(coefficients[i] * i)
      return derivative