Use linear approximation, i.e. the tangent line, to approximate √16.4 as follows: Let f(x)=√. Find the equation of the tangent line to f(x) at x = 16 L(x) = +2 1x 8 0° Using this, we find our approximation for √16.4 is 2.506211418 X NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer.
Use linear approximation, i.e. the tangent line, to approximate √16.4 as follows: Let f(x)=√. Find the equation of the tangent line to f(x) at x = 16 L(x) = +2 1x 8 0° Using this, we find our approximation for √16.4 is 2.506211418 X NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact answer.
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.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 25E
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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) = +2
1x
8
OT
Using this, we find our approximation for √16.4 is
2.506211418
X
NOTE: For this part, give your answer to at least 9 significant figures or use an expression to give the exact
answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d56d87b-1ee4-40b0-9831-f06655864a4b%2F167ca595-3477-4862-b91e-f5861b782f9a%2F24egp8_processed.jpeg&w=3840&q=75)
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) = +2
1x
8
OT
Using this, we find our approximation for √16.4 is
2.506211418
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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