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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.