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# Solved: Slopes of tangent lines Find the slope of the line

ISBN: 9780321570567 2

## Solution for problem 6E Chapter 10.3

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition

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Problem 6E

Slopes of tangent lines Find the slope of the line tangent to the following polar curves at the given points. At the points where the curve intersects the origin (when this occurs), find the equation of the tangent line in polar coordinates.

r = 4 cos θ;

Step-by-Step Solution:

Solution 6E

Step 1:

In this problem we have to find the slope of the line tangent to the curve  at the point  and we have to find the points where the curve intersects the origin.

We know that the slope of the curve at the given point is

We have

Therefore

Step 2:

Now

Step 3 of 3

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Solved: Slopes of tangent lines Find the slope of the line

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