Problem

Solve the given problems by finding the appropria…

Problem 21 Easy Difficulty

Solve the given problems by finding the appropriate derivative.
By Newton's method, solve the equation $x^{2}-3+\ln 4 x=0$ Check the result by using the zero feature of a calculator.

Answer

1.1973338

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Calculus 1 / AB

Basic Technical Mathematics with Calculus

Chapter 27

Differentiation of Transcendental Functions

Section 8

Applications

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Video Transcript

we need to solve the crazy. Thanks square minus three. Cause spelling the four Act As equal to zero. So by using Newton's method, let's consider effort. Right F of X is equal to X squared minus three plus element. For so now it's a different shape both sides with respect to act and that's common. F prime of X is equal to plus one over one of the uh since effort one, That is equal to zero 61. And for 4.5. So now the roof of the equation Is equal to zero. Their lives between and wine And 1.5. So x up one Equal to 1.61. So using Newton's method is the value of X two Is equal to X one minus F of X of one, divided by F prime of X sub one. And there is equal to -1.6. Time minus 1.16 sq minus three plus L n o four times 1.6. So two times 1 six plus one over one point. What is it? That is equal to 1.08. So X three. That's equally true. Except to minus effort. Except to provided by F problem except to Less equal to one 12 by just substituting your values. And except for that is 1.19

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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