Use linear approximation, i.e. the tangent line, to approximate √16.4 as follows: √. Find the equation of the tangent line to f(x) at x = 16 et f(x) = = 1x 8 +2 08 Using this, we find our approximation for ✓16.4 is 2.5 X OTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact nswer.

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.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 2E
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Use linear approximation, i.e. the tangent line, to approximate √16.4 as follows:
Let f(x)=√x. Find the equation of the tangent line to f(x) at x = 16
L(x) =
1x
8
+2
Using this, we find our approximation for √16.4 is
2.5
X
NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact
answer.
Transcribed Image Text:Use linear approximation, i.e. the tangent line, to approximate √16.4 as follows: Let f(x)=√x. Find the equation of the tangent line to f(x) at x = 16 L(x) = 1x 8 +2 Using this, we find our approximation for √16.4 is 2.5 X NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer.
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