- Find the linear approximation L (x) of the function g(x) (1+xata - 0. L(x) = Use it to approximate the numbers / 0.95 and 1.1. (Round your answers to three decimal places.) V0.95 [ √1.1 Use technology to graph g and the tangent line in the same viewing window. 4 0 2 -2 2

- Find the linear approximation L (x) of the function g(x) (1+xata - 0. L(x) = Use it to approximate the numbers / 0.95 and 1.1. (Round your answers to three decimal places.) V0.95 [ √1.1 Use technology to graph g and the tangent line in the same viewing window. 4 0 2 -2 2

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

Section4.1: Techniques For Finding Derivatives

Problem 36E: Find all points on the graph of fx=x3+9x2+19x-10 where the slope of the tangent line is -5.

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Question

1 + x at a 0.
Find the linear approximation L(x) of the function g(x) = √1
L(x) =
Use it to approximate the numbers 0.95 and 1.1. (Round your answers to three decimal places.)
0.95
1.1 =
Use technology to graph g and the tangent line in the same viewing window.
4-
-2
2
2
x
-2
0
2
4
2
-2
2
-2
2
-2
y
2

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Step 1: Define the problem.

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Step 2: Find the derivative of the function.

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Step 3: Find the linear approximation of the function

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Step 4: Approximate the given values of the function.

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Step 5: Draw the graph of g(x) and its tangent line.

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