THE DIFFERENTIAL OF A FUNCTION AND METHODS OF ITS CALCULATION
Keywords:
Keywords: differential, derivative, linear approximation, multivariable calculus, total differential, tangent plane, error estimation.Abstract
Abstract: This article explores the concept of the differential of a function in calculus. The differential provides a linear approximation of a function's change in response to small variations in its input. The paper discusses the formal definition of differentials, their relationship with derivatives, rules of computation, and practical applications in approximation, physics, and engineering. Special attention is given to methods of calculating differentials for single-variable and multivariable functions.
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