Use linear approximation, i.e. the tangent line, to approximate 1.954 as follows: Let f(x)=x4 . The equation of the tangent line to f(x) at x=2 can be written in the form y=mx+b where m is: and where b is: Using this, we find our approximation for 1.954 is:

Use linear approximation, i.e. the tangent line, to approximate 1.954 as follows: Let f(x)=x4 . The equation of the tangent line to f(x) at x=2 can be written in the form y=mx+b where m is: and where b is: Using this, we find our approximation for 1.954 is:

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter55: Introduction To Circles

Section: Chapter Questions

Problem 28A: Solve the following exercises based on Principles 15-17, although an exercise may require the...

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Question

Use linear approximation, i.e. the tangent line, to approximate 1.95⁴ as follows:
Let f(x)=x⁴ . The equation of the tangent line to f(x) at x=2 can be written in the form y=mx+b
where m is:
and where b is:
Using this, we find our approximation for 1.95⁴ is:

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