Implicit Differentiation using f, fy & f Let 20x² 1 dy dr dy Use partial derivatives to calculate at the point (3, 1). dx 45xy + 25y² + 60x - 80y - 80 = 0. (-3,1)
Implicit Differentiation using f, fy & f Let 20x² 1 dy dr dy Use partial derivatives to calculate at the point (3, 1). dx 45xy + 25y² + 60x - 80y - 80 = 0. (-3,1)
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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![**Implicit Differentiation using \( f_x \), \( f_y \) & \( f_z \)**
Let \( 20x^2 - 45xy + 25y^2 + 60x - 80y - 80 = 0 \).
Use partial derivatives to calculate \(\frac{dy}{dx}\) at the point \((-3, 1)\).
\[
\left[\frac{dy}{dx}\right]_{(-3,1)} = \underline{\hspace{2cm}}
\]
This question involves using implicit differentiation to find the derivative \(\frac{dy}{dx}\) for the given function at a specific point. You will need to use the partial derivatives \((f_x, f_y, f_z)\) to solve this.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8216494-bf6c-44b6-949f-dd8ff9f3594a%2Ffb5efd38-1ac4-458c-a62d-f67cd08fa1ab%2Fe896gh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Implicit Differentiation using \( f_x \), \( f_y \) & \( f_z \)**
Let \( 20x^2 - 45xy + 25y^2 + 60x - 80y - 80 = 0 \).
Use partial derivatives to calculate \(\frac{dy}{dx}\) at the point \((-3, 1)\).
\[
\left[\frac{dy}{dx}\right]_{(-3,1)} = \underline{\hspace{2cm}}
\]
This question involves using implicit differentiation to find the derivative \(\frac{dy}{dx}\) for the given function at a specific point. You will need to use the partial derivatives \((f_x, f_y, f_z)\) to solve this.
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