Linearization
（重定向自Linearisation）
![An approximation of f(x)=x^2 at (x, f(x))](/Images/godic/202501/24/Tangent-calculus.svg3752.png")
In mathematics linearization refers to finding the linear approximation to a function at a given point. In the study of dynamical systems, linearization is a method for assessing the local stability of an equilibrium point of a system of nonlinear differential equations or discrete dynamical systems. This method is used in fields such as engineering, physics, economics, and ecology.