The function is and the point is
.
Differentiate the function with respect to .
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 y given by linear approximation with the values of near
.
The tangent line equation is .
The completed table :
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