Chapter 2.6, Problem 57E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

The equation
*x*-axis and show that the tangent lines at these points are parallel.

To determine

**To Find:**

i. Points where ellipses cuts

ii. To show tangent lines are parallel

Explanation

**1) Formula:**

i. Derivative of constant

ii. Product rule

**Given: **

**Calculation:**

i.

When graph crosses x-axis, y coordinate becomes zero.

Substitute

Taking square root on both sides,

Therefore the points when the curve crosses x- axis are

ii.

Differentiating given expression implicitly with respect to x on both sides,

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