Loterre: Matemáticas: Fermat's theorem

mathematical analysis > real analysis > Fermat's theorem

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Fermat's theorem

In mathematics, Fermat's theorem (also known as interior extremum theorem) is a method to find local maxima and minima of differentiable functions on open sets by showing that every local extremum of the function is a stationary point (the function's derivative is zero at that point). Fermat's theorem is a theorem in real analysis, named after Pierre de Fermat. By using Fermat's theorem, the potential extrema of a function ${\\displaystyle \\displaystyle f}$ , with derivative ${\\displaystyle \\displaystyle f'}$ , are found by solving an equation in ${\\displaystyle \\displaystyle f'}$

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