Explanation Given information: The tangent line to the curve x 2 3 + y 2 3 = 8 at the point (8,8) and the coordinate axes form a triangle as shown in figure. Calculation: Given curve is x 2 3 + y 2 3 = 8 Differentiating both sides, we get 2 3 x 2 3 − 1 d y + 2 3 y 2 3 − 1 d y d x = 0 x − 1 3 + y − 1 3 d y d x = 0 d y d x = − y 1 3 x 1 3 Now, we know that slope of tangent line to the curve y = f ( x ) at a point is value of d y d x at that point

Student's Solution and Survival Manual for Calculus

7th Edition

ISBN: 9781524934040

Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J

Publisher: Kendall Hunt Publishing

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Chapter 3, Problem 66SP

To determine

To find: The area of triangle formed by tangent line and the coordinates.

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Chapter 3, Problem 65SP

Chapter 3, Problem 67SP

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Chapter 3 Solutions

Student's Solution and Survival Manual for Calculus

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The area of triangle formed by tangent line and the coordinates.

Solution Summary: The author calculates the area of a triangle formed by tangent line and coordinates.

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To find: The area of triangle formed by tangent line and the coordinates.

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Chapter 3 Solutions