Let-202²-11zy + 3y²-672-36y - 39 = 0. dy Use partial derivatives to calculate at the point (-3,-2). dr dy da (-3,-2)

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...
icon
Related questions
Question
100%
Let \(-20x^2 - 11xy + 3y^2 - 67x - 36y - 39 = 0\).

Use partial derivatives to calculate \(\frac{dy}{dx}\) at the point \((-3, -2)\).

\[
\left. \frac{dy}{dx} \right|_{(-3, -2)} = \text{\_\_\_\_\_\_}
\]
Transcribed Image Text:Let \(-20x^2 - 11xy + 3y^2 - 67x - 36y - 39 = 0\). Use partial derivatives to calculate \(\frac{dy}{dx}\) at the point \((-3, -2)\). \[ \left. \frac{dy}{dx} \right|_{(-3, -2)} = \text{\_\_\_\_\_\_} \]
Expert Solution
Step 1

Derivate the given equation with respect to x and then put the given point.

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning