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| PAGE: 240 | SET: Exercises | PROBLEM: 1 |
The function is 
and the point is 
.
Differentiate the function with respect to 
.
Apply power rule of derivatives : 
.
At the point 
, 
.
This is the slope of the tangent line.
Slope of the tangent line is 
.
Point-slope form of the line equation is 
, where 
is slope.
Substitute 
and in point-slope form.
The tangent line equation is 
.
Use the linear approximation to complete the table.
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The table compares the values of 
given by linear approximation with the values of near 
.
The tangent line equation is .
The completed table :
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