Question

(ii) Find the linearization of the function

Answer 1

Answer:

The linearization of a differentiable function f at a point x=a is the linear function L(x)=f(a)+f'(a)(x−a) , whose graph is the tangent line to the graph of f at the point (a,f(a)) . When x≈a , we get the approximation f(x)≈L(x) .