This method is based on the well known Leibnitz’s and product rule; it does not require the lower order derivatives to generate the higher order derivatives. The emerging method from the combination are easy to compute and less tedious. The need for higher derivatives is appreciated and significant in the computation of some numerical integrators that calculate the numerical solutions of differential equations by making use of the higher derivation of differential equations.
Keywords: Leibnitz’s theorem, product rule, derivatives, continuous / differentiable functions
Journal of the Nigerian Association of Mathematical Physics, Volume 19 (November, 2011), pp 155 – 158