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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 4.7, Problem 10E

To determine

**To find:** The second approximation

Expert Solution

The second approximation is

**Formula used:**

The newton’s formula is,

**Given:**

The initial approximation is

The function is

**Calculation:**

Calculate the derivative of

The value of

Calculate the value of

Calculate

Set

Substitute

Therefore, the second approximation to the root of the given equation is

Graph the given function

From Figure 1, it is observed that the Newton’s method achieve the tangent line at

Moreover, from the graph, it is noticed that the tangent line gives the second approximation at