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| PAGE: 688 | SET: Exercises | PROBLEM: 55 |
The polar equation is 
and 
.
If the point 
has Cartesian coordinates 
and polar coordinates 
, then 
and 
.
Substitute 
in polar coordinates.
.
.
The slope of the tangent line is derivative of the function.
Apply chain rule of derivatives : 
.
First find 
.
Consider 
.
Apply derivative on each side with respect to 
.
.
Find 
.
Consider 
.
Apply derivative on each side with respect to .
.
Substitute 
and 
.
.
The slope of the tangent line is derivative of the function at the point.
The slope of the tangent line at .
.
The slope of the tangent line is 
.
The slope of the tangent line is 
.
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