szorzatszabályból

The term "szorzatszabályból" is a Hungarian phrase that translates to "from the product rule." This typically refers to the product rule in calculus, a fundamental theorem used to find the derivative of a function that is the product of two or more other functions.

In mathematics, the product rule states that the derivative of a product of two differentiable functions, say f(x) and g(x), is given by the derivative of the first function multiplied by the second function, plus the first function multiplied by the derivative of the second function. Symbolically, if h(x) = f(x)g(x), then h'(x) = f'(x)g(x) + f(x)g'(x). This rule is essential for differentiating complex functions that are composed as products.

The phrase "szorzatszabályból" might appear in a context discussing how a particular mathematical result or derivation was achieved using the product rule. For instance, a textbook explanation might state, "From the product rule, we can derive..." followed by the subsequent steps. It highlights the origin of a mathematical step or conclusion, emphasizing that the product rule was the foundational principle applied. Understanding this phrase implies familiarity with the basic rules of differentiation in calculus and the Hungarian language.