Question

Set up a calculation, with four decimal places of accuracy, that estimates the slope of the...

Set up a calculation, with four decimal places of accuracy, that estimates the slope of the tangent line to g(s)= \ln s at s=2 (do not solve).

very Urjent explanation need!!!

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Answer #1

A linear approximation to is where is as small as possible.

Given . Let us choose

Then

Now,

Therefore, it simplifies to

Therefore, slope of tangent line to at is approximately which is in fact correct upto four decimal places because we know that

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