03-05 - Linear Approximations

Name:

Multiple Choice
Identify the choice that best completes the statement or answers the question.

Use the linear approximation (i.e. tangent line) of the function

to approximate the number

Let f be the function given by

. What approximation would be given for

using the line tangent to the graph of f at

The function f is twice differentiable with

. What is the value of the approximation of

using the tangent of f at x = a?

a.	d.
b.	e.
c.	f.	Not Enough Information Provided

Using differentials:
Given the equation

.

What would be the approximation of

using differentials?
(let x = 4 and )

Given the function

and the following information:

•	• dx = 0.2	•

Using differentials, what would be the best approximation of

Given the function

and the following information:

Using differentials, what would be the best approximation of