A point $\mathrm{x} 1$ is a local minimum of a function $\mathrm{f}(\mathrm{x})$ if the value of $\mathrm{f}(\mathrm{x})$ is more for all points around a fixed distance, usually $\pm 0.1 \mathrm{x}^{1}$ around $\mathrm{x}^{1}$.

Question

Quizplus · Accepted Answer

A point $x_1$ is considered a local minimum of a function $f(x)$ if $f(x_1)$ is less than or equal to $f(x)$ for all $x$ in some neighborhood around $x_1$; the definition does not specify a fixed distance such as $\pm 0.1x^1$ around $x^1$.

A Point x1\mathrm{x} 1x1 Is a Local Minimum of a Function f(x)\mathrm{f}(\mathrm{x})f(x)

A Point $\mathrm{x} 1$ Is a Local Minimum of a Function $\mathrm{f}(\mathrm{x})$