What is the linear approximation?(1)

• 作 者: 梁宇学
• 机 构: High School Attached CNU,
• 出 处: 中学生数学
• 发表日期: 2004年期
• 关键词: differentiable linearization explicitly definitely contin exercises tangent appr

If a function f(x) is differentiable,then the linear approximation of f(x) at a is f(x)≈f(a)+f′(a)(x-a),while the value of x close to a.The equation L(x)=f(a)+f′(a)(x-a) is called the linearization of f(x) at a.

If a function f (x) is differentiable, then the linear approximation of f (x) at a is f (x) ≈f (a) + f '(a) (xa), while the value of x close to a. The equation L (x) = f (a) + f '(a) (xa) is called the linearization of f (x) at a.