Use linear approximation, i.e. the tangent line, to approximate Let f(x) = X 1 0.501 and find the equation of the tangent line to f(x) at a "nice" point near 0.501. c) Now use this equation to approximate as follows: a) What is a "nice" x-value, (one that is easy to evaluate), close to 0.501? b) What is the linearization (tangent line equation) at that x-value? (Use L(x) ) 1 0.501

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 4CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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Use linear approximation, i.e. the tangent line, to approximate
Let f(x)
-
X
1
and find the equation of the tangent line to f(x) at a "nice" point near 0.501.
1
0.501
c) Now use this equation to approximate
as follows:
a) What is a "nice" x-value, (one that is easy to evaluate), close to 0.501 ?
b) What is the linearization (tangent line equation) at that x-value? (Use L(x) )
1
0.501
Transcribed Image Text:Use linear approximation, i.e. the tangent line, to approximate Let f(x) - X 1 and find the equation of the tangent line to f(x) at a "nice" point near 0.501. 1 0.501 c) Now use this equation to approximate as follows: a) What is a "nice" x-value, (one that is easy to evaluate), close to 0.501 ? b) What is the linearization (tangent line equation) at that x-value? (Use L(x) ) 1 0.501
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