3.8 Linear Approximations and Differentials

Mathematica script by Chris Parrish,
   cparrish@sewanee.edu

Problems from James Stewart,
  "Calculus," Second Edition, Brooks/Cole, 2001

Accuracy of a Linear Approximation.

For what values of t does the tangent line provide acceptable approximations to the values of f(t) ?

In[85]:=

Needs["Graphics`Colors`"] Clear[f, t, a, ϵ, tangent]  f[t_] =  &n ... {{, RowBox[{Green, ,, RowBox[{PointSize, [, 0.02, ]}], ,, Point[{a, f[a]}]}], }}]}]}], ]}], ;}]}]

[Graphics:HTMLFiles/3.8_linearApprox_2.gif]


Created by Mathematica  (October 17, 2003)