Chapter 2.R, Problem 12CC

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

(a) Write an expression for the linearization of *f* at *a*.

(b) If
*dy*.

(c) If
*dy*.

**(a)**

To determine

**To write: **Expression for the linearization of

Explanation

Close to the point of tangency a curve is nearby to its tangent line. In other words, the graph of a differentiable function looks like its tangent line near the point of tangency. From this we can find the approximate values of functions.

We can calculate a value

In other words, use tangent line at

and the approximation

**(b)**

To determine

**To write: ** Expression for differential

**(c)**

To determine

**To write: ** Draw a picture showing the geometrical meaning of

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