Fakhraddin Feyzullah Aliyev

SPECIAL CASES IN CALCULATING THE DERIVATIVE OF A FUNCTION

Abstract. It is known that the concept of the derivative of a function has wide applications.

Extremum problems, calculation of non-standard areas, the length of a curve, the volume of an arbitrary spatial figure, etc. The article does not give the traditional formula for calculating the derivative, but rather the derivation of derivative formulas for products and ratios that are not correct at first glance for specially selected functions. Such approaches create a very serious stimulus for mathematics teachers and mathematics lovers to the subject. From this point of view, it is expected to be of great importance in the in-depth study of mathematics.

Key words: derivative of a function, differential equation, sequence of natural numbers, uncertainty, infinite sum, product, ratio, calculation, derivative of product, derivative of ratio, mathematical investigation