Newton's method is one example of the usefulness of the tangent line as an approximation to a curve. Here we explore another such application. Recall that the tangent line to f(x) at a point x=as gi...Newton's method is one example of the usefulness of the tangent line as an approximation to a curve. Here we explore another such application. Recall that the tangent line to f(x) at a point x=as given by L(x)=f′(a)(x−a)+f(a). The tangent line in this context is also called the linear approximation to f at a.
