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Tangent lines for an ellipse Show that an equation of the

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 77E Chapter 10.4

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 77E

Tangent lines for an ellipse Show that an equation of the line tangent to the ellipse x2/a2 + y2/b2 = 1 at the point (x0, y0) is .

Step-by-Step Solution:

Solution 77EStep 1:

To find the tangent line at a point, first we need to find the slope() at the point.

Differentiating  with respect to x to obtain , we get

Using the above result, the slope(m) at point is

Step 2 of 2

Chapter 10.4, Problem 77E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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