Use linear approximation, i.e. the tangent line, to approximate 36.2 as follows: Let f(x)=√x. Find the equation of the tangent line to f(x) at x = 36 L(x) = Using this, we find our approximation for √36.2 is NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer. Question Help: Video

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.5: Differentials: Linear Approximation
Problem 12E: Use the differential to approximate each quantity. Then use a calculator to approximate the...
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36
Use linear approximation, i.e. the tangent line, to approximate 36.2 as follows:
Let f(x)=√x. Find the equation of the tangent line to f(x) at x
L(x) =
Using this, we find our approximation for √36.2 is
NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact
answer.
Question Help: Video
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Transcribed Image Text:36 Use linear approximation, i.e. the tangent line, to approximate 36.2 as follows: Let f(x)=√x. Find the equation of the tangent line to f(x) at x L(x) = Using this, we find our approximation for √36.2 is NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer. Question Help: Video Submit Question Jump to Answer
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