Use linear approximation, i.e. the tangent line, to approximate ^3 root (125.1) as follows:Let f(x) = ^3 root (x). The equation of the tangent line to f(x) at x=125 can be written in the form  y = mx+b where m = and b =  where  is:   and where  is:

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.CR: Chapter 4 Review
Problem 47CR
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Use linear approximation, i.e. the tangent line, to approximate ^3 root (125.1)
 as follows:
Let f(x) = ^3 root (x)
. The equation of the tangent line to f(x)
 at x=125
 can be written in the form  y = mx+b where m = and b = 


where 
 is: 
  
and where 
 is: 

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