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Tangent lines for a hyperbola Find an equation of the line

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

Solution for problem 78E 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 78E

Problem 78E

Tangent lines for a hyperbola Find an equation of the line tangent to the hyperbola x2/a2 − y2/b2 = 1 at the point (x0, y0).

Step-by-Step Solution:

Solution 78E
Step 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 78E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

The answer to “Tangent lines for a hyperbola Find an equation of the line tangent to the hyperbola x2/a2 ? y2/b2 = 1 at the point (x0, y0).” is broken down into a number of easy to follow steps, and 25 words. Since the solution to 78E from 10.4 chapter was answered, more than 284 students have viewed the full step-by-step answer. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: hyperbola, Tangent, equation, Find, line. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 78E from chapter: 10.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.

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Tangent lines for a hyperbola Find an equation of the line