<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper we consider two continuous functions <italic>f, g</italic> : [<italic>a, b</italic>] → ℝ and we study for these ones, under which circumstances the intermediate point function is four order di erentiable at the point <italic>x</italic> = <italic>a</italic> and we calculate its derivative.</p></abstract>

In this paper we consider two continuous functions f, g : [a, b] → ℝ and we study for these ones, under which circumstances the intermediate point function is four order di erentiable at the point x = a and we calculate its derivative.

Properties of the intermediate point from a mean value theorem of the integral calculus - II

Faculty of Mathematics and Computer Science, Department of Mathematics

Faculty of Science Department of Mathematics and Computer Science

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper we consider two continuous functions f, g : [a, b] → ℝ and we study for these ones, under which circumstances the intermediate point function is...

Properties of the intermediate point from a mean value theorem of the integral calculus - II

Published Online: Dec 21, 2019

Page range: 29 - 36

Received: Mar 27, 2019

Accepted: May 08, 2019

DOI: https://doi.org/10.2478/gm-2019-0003

Keywords
intermediate point, mean-value theorem

© 2019 Emilia-Loredana Pop et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Properties of the intermediate point from a mean value theorem of the integral calculus - II

Published Online: Dec 21, 2019

Page range: 29 - 36

Received: Mar 27, 2019

Accepted: May 08, 2019

DOI: https://doi.org/10.2478/gm-2019-0003

Keywordsintermediate point, mean-value theorem

© 2019 Emilia-Loredana Pop et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
intermediate point, mean-value theorem