Complete Science & Technical News Portal

- Latest News on Retinopathy Research: Dec – 2019
- Diseases of Different Crops in Zoba Anseba of Eritrea
- Latest Research News on Imatinib: Dec – 2019
- The Relationship between Value Creation and Subsidiarity within Public Administration
- An Empirical Case Study of Sada Shiv Modern Group in Kandi Area of Punjab
- Creativity versus Innovativeness: Exploring the Differences between the Two Constructs May Lead to Greater Innovation in Large Firms
- Impact of Vermicomposting Training Programme on Production, Economics and Employment Generation of Farmer – A Case Study
- Reviewing the Impact of Climate Change on Agriculture and Farm Households through Gender Lens
- Social Protection Activities of Self-help Groups in Southeast Nigeria: Looking Forward and Thinking Back
- Assessment of the Contributions of the Bank of Agriculture to Cassava Production in Isoko North Local Government Area of Delta State, Nigeria

*The formula of Fa`a Di Bruno provides a powerful tool to calculate the higher order derivative of a composite function. Unfortunately it has three weaknesses: it is not a recursive formula, it totally depends on the resolution of the diophantine equation and a change in the order of the derivative requires the total change of the calculation. With these weaknesses and the absence of a formula to program, Fa`a Di Bruno’s formula is less useful for formal computation.*

*Other complicated techniques based on ﬁnite diﬀerence calculation (see [1]) are recursive, however the complexity of the calculation algorithm is very high. There is as well some techniques based on graphs (see [2]) to calculate the coeﬃcients to a certain order, but without giving the general formula.*

*In our work we propose a new formula to calculate the higher order derivative of a composite function gof. It is of great interest, because it is recursive and it is not based on the resolution of the diophantine equation. We complete this work by giving an expression that allows to ﬁnd directly the n-th derivative of a composite function.*

**View Volume: **http://bp.bookpi.org/index.php/bpi/catalog/book/97

Related Posts

WP2Social Auto Publish Powered By : XYZScripts.com