Directions: Use the equation given below to answer the following questions. x² - xy - y² = 5 Part 1: Derivative dy Calculate the derivative by implicit differentiation: da dy dr Part 2: Tangent Line Find an equation of the tangent line to the curve at the point (3, 1). Tangent Line: y =
Directions: Use the equation given below to answer the following questions. x² - xy - y² = 5 Part 1: Derivative dy Calculate the derivative by implicit differentiation: da dy dr Part 2: Tangent Line Find an equation of the tangent line to the curve at the point (3, 1). Tangent Line: y =
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Directions:** Use the equation given below to answer the following questions.
\[ x^2 - xy - y^2 = 5 \]
---
**Part 1: Derivative**
Calculate the derivative \(\frac{dy}{dx}\) by implicit differentiation:
\[
\frac{dy}{dx} = \_\_\_\_
\]
---
**Part 2: Tangent Line**
Find an equation of the tangent line to the curve at the point \((3, 1)\).
Tangent Line: \( y = \_\_\_\_ \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d728491-ca3a-470b-9076-be2816d1a071%2F836a3e3a-20ca-46b5-b49d-bb85cdfe0fb8%2Fqygld3p_processed.png&w=3840&q=75)
Transcribed Image Text:**Directions:** Use the equation given below to answer the following questions.
\[ x^2 - xy - y^2 = 5 \]
---
**Part 1: Derivative**
Calculate the derivative \(\frac{dy}{dx}\) by implicit differentiation:
\[
\frac{dy}{dx} = \_\_\_\_
\]
---
**Part 2: Tangent Line**
Find an equation of the tangent line to the curve at the point \((3, 1)\).
Tangent Line: \( y = \_\_\_\_ \)
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