If a rectangle has its base on the -axis and two vertices on the curve y =

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If a rectangle has its base on the -axis and two vertices on the curve y = e–x2, show that the rectangle has the largest possible area when the two vertices are at the points of inflection of the curve.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Jun 30, 2010 11:46 PM

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If a rectangle has its base on the -axis and two vertices on the curve y =

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Let y fx e The area of the rectangle under the curve from to x is Ax 2xe where x 0 We m...View the full answer

Calculus Early Transcendentals

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