THE DERIVATIVE OF FUNCTIONS AND THE CEILING DETERMINANT OF A SQUARE MATRIX
Abstract
Derivatives in calculus and Determinants of square matrices of any size in linear algebra are
extensively used in STEM, Financial and Business elds to mention some. In this research
paper, we develop mathematical formula to drill determinants for evaluating the derivatives
of a function of higher order n. First, we introduce the Ceiling Determinant of a two by
two matrix and extended this denition to nd the derivative of a function of n order. This
new approach will help students to easily memorize the formula and apply to their major
academic discipline. We have application examples on complex variable and geometry.
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