Chapter 3: Applications of Differentiation
Section 3.4: Differentials and the Linear Approximation
Example 3.4.1
Approximate by using the differential of the function .
How accurate is this approximation?
Solution
Part (a): Apply the linear approximation:
Define the function
Control-drag (or type)
Context Panel: Assign Function
Calculate accurately
Type and press the Enter key.
Context Panel: Approximate≻10
Linear approximation to
Part (b): Test the accuracy of the linear approximation:
Absolute error
Absolute error:
Relative error
Relative error:
Percent error
Percent error:
=
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