Let f(x)=√x. Use linear approximation at x = 27 to approximate f(27.1) 27.1. = The equation of the tangent line to f(x) at x = 27 is y = x+ Using this, we find our approximation for 27.1.

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
Section6.3: Implicit Differentiation
Problem 26E
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Let f(x)=√x. Use linear approximation at x = = 27 to approximate
f(27.1) = 27.1.
The equation of the tangent line to f(x) at x =
= 27 is
y =
x+
Using this, we find our approximation
for 27.1.
Transcribed Image Text:Let f(x)=√x. Use linear approximation at x = = 27 to approximate f(27.1) = 27.1. The equation of the tangent line to f(x) at x = = 27 is y = x+ Using this, we find our approximation for 27.1.
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