(1 point) Approximate both In(0.98) and In(1.02) using one tangent line approximation:First note that In(0.98) and In(1.02) both In(1).Let f(x) = ln(x). Then, f'(x) = 1/xLet xo = 1. Then f'(1) = ||L(x), the line tangent to In(x) at xo = 1 is:L(x) =Note that the tangent line is a good approximation to the function f(x) close to the point of tangency. Use the tangent line approximation to estimate thevalues below:In(0.98)In(1.02)Hint: If you put the exact values into your calculator you won't get the right answer, but your answer should be close to the exact values.

Answered: Image /qna-images/answer/e3ea5458-1550-46db-8eba-123fd2c79b1e.jpg

(1 point) Approximate both In(0.98) and In(1.02) using First note that In(0.98) and In(1.02) both In(1). Let f(x) = ln(x). Then, f'(x) = 1/x Let xp = 1. Then f'(1) = | L(x), the line tangent to In(x) at xo = 1 is: L(x)= Note that the tangent line is a good approximation to t values below: In(0.98) In(1.02) ≈ Hint: If you put the exact values into your calculator yo

(1 point) Approximate both In(0.98) and In(1.02) using First note that In(0.98) and In(1.02) both In(1). Let f(x) = ln(x). Then, f'(x) = 1/x Let xp = 1. Then f'(1) = | L(x), the line tangent to In(x) at xo = 1 is: L(x)= Note that the tangent line is a good approximation to t values below: In(0.98) In(1.02) ≈ Hint: If you put the exact values into your calculator yo

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.CR: Chapter 6 Review

Problem 20CR

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