Use linear approximation, i.e. the tangent line, to approximate 1.954 as follows: Let f(x)=x4 . The equation of the tangent line to f(x) at x=2 can be written in the form y=mx+b where m is: and where b is: Using this, we find our approximation for 1.954 is:
Use linear approximation, i.e. the tangent line, to approximate 1.954 as follows: Let f(x)=x4 . The equation of the tangent line to f(x) at x=2 can be written in the form y=mx+b where m is: and where b is: Using this, we find our approximation for 1.954 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 26E
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Use linear approximation, i.e. the tangent line, to approximate 1.954 as follows:
Let f(x)=x4 . The equation of the tangent line to f(x) at x=2 can be written in the form y=mx+b
where m is:
and where b is:
Using this, we find our approximation for 1.954 is:
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