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Using Linearization to Approximate Function Values We will create a linearization to approximate the value of V12. To create the linearization you will need the first derivative of the function f(x) = Vx and to What is f(9) ? What piece of information does this value give you as you create your tangent line? judge whether your approximation is an over- or under- estimate, you will need the second derivative. These derivatives are: f'(x) = 1 2vx f"(x) = -1 16x3 %3D What is f'(9) ? What piece of information does this value give you as you create your tangent line? A number that is close to 12 whose square root is easy to calculate is 9. We will create our linearization of f at x= 9. To start the process we must build our tangent line at x = 9 , which means we need to know the coordinates of the point of tangency at x = 9 and the slope of the tangent line. Submit

Using Linearization to Approximate Function Values We will create a linearization to approximate the value of V12. To create the linearization you will need the first derivative of the function f(x) = Vx and to What is f(9) ? What piece of information does this value give you as you create your tangent line? judge whether your approximation is an over- or under- estimate, you will need the second derivative. These derivatives are: f'(x) = 1 2vx f"(x) = -1 16x3 %3D What is f'(9) ? What piece of information does this value give you as you create your tangent line? A number that is close to 12 whose square root is easy to calculate is 9. We will create our linearization of f at x= 9. To start the process we must build our tangent line at x = 9 , which means we need to know the coordinates of the point of tangency at x = 9 and the slope of the tangent line. Submit

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.4: Combining And Decomposing Functions
Problem 14E: Decay of Litter Litter such as leaves falls to the forest floor, where the action of insects and...
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Using Linearization to Approximate Function Values We will create a linearization to approximate the value of v12. To create the linearization you will need the first derivative of the function f(x) = Vx and to What is f(9) ? What piece of information does this value give you as you create your tangent line? judge whether your approximation is an over- or under- estimate, you will need the second derivative. These derivatives are: 1 f'(x) = Via 1. f"(x) = What is f'(9) ? What piece of information does this 16x3 value give you as you create your tangent line? A number that is close to 12 whose square root is easy to calculate is 9. We will create our linearization of f at x= 9. To start the process we must build our tangent line at x=9, which means we need to know the coordinates of the point of tangency at x= 9 and the slope of the tangent line. Submit
Transcribed Image Text:Using Linearization to Approximate Function Values We will create a linearization to approximate the value of v12. To create the linearization you will need the first derivative of the function f(x) = Vx and to What is f(9) ? What piece of information does this value give you as you create your tangent line? judge whether your approximation is an over- or under- estimate, you will need the second derivative. These derivatives are: 1 f'(x) = Via 1. f"(x) = What is f'(9) ? What piece of information does this 16x3 value give you as you create your tangent line? A number that is close to 12 whose square root is easy to calculate is 9. We will create our linearization of f at x= 9. To start the process we must build our tangent line at x=9, which means we need to know the coordinates of the point of tangency at x= 9 and the slope of the tangent line. Submit
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