Use linear approximation, i.e. the tangent line, to approximate 4.85 as follows: Let f(x) = x5. The equation of the tangent line to f(x) at x = 5 can be written in the form y = mx + b where m is: and where b is: Using this, we find our approximation for 4.85 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.
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 4.85 as follows:
Let f(x) = x5. The equation of the tangent line to ƒ(x) at x = 5 can be written in the form
y = mx + b
where m is:
and where b is:
Using this, we find our approximation for 4.85 is
Transcribed Image Text:Use linear approximation, i.e. the tangent line, to approximate 4.85 as follows: Let f(x) = x5. The equation of the tangent line to ƒ(x) at x = 5 can be written in the form y = mx + b where m is: and where b is: Using this, we find our approximation for 4.85 is
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,