diferentiaaleilla
Diferentiaaleilla, or differentials, are a fundamental concept in calculus that represent infinitesimal changes. In essence, a differential is a way to approximate the change in a function corresponding to a small change in its input. The differential of a function y = f(x), denoted as dy, is defined as dy = f'(x) dx, where f'(x) is the derivative of the function and dx represents an infinitesimal change in x. This concept allows us to linearize a function locally, meaning that for very small changes in x, the tangent line approximation provided by the differential is very close to the actual function.
Differentials are crucial for understanding integration. The indefinite integral of a function, written as ∫f(x) dx,