dy dz - 182 + 72"y + y² = - 10 Given the equation below, find 36 1822(3 – 14z3y) 7z%6 + 2y dy dr Now, find the equation of the tangent line to the curve at (1, 1). Write your answer in mr + b format y :
dy dz - 182 + 72"y + y² = - 10 Given the equation below, find 36 1822(3 – 14z3y) 7z%6 + 2y dy dr Now, find the equation of the tangent line to the curve at (1, 1). Write your answer in mr + b format 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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![**Derivative and Tangent Line Calculation**
Given the equation below, find \(\frac{dy}{dx}\).
\[ -18x^3 + 7x^{36}y + y^2 = -10 \]
\[
\frac{dy}{dx} = \frac{18x^2(3 - 14x^{33}y)}{7x^{36} + 2y}
\]
Now, find the equation of the tangent line to the curve at (1, 1). Write your answer in \( mx + b \) format.
\[ y = \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7507552d-033e-4149-9d44-bf1f4165ff0a%2F101019a4-81dd-45aa-a903-089a8844ae6b%2Fz0wz91i_processed.png&w=3840&q=75)
Transcribed Image Text:**Derivative and Tangent Line Calculation**
Given the equation below, find \(\frac{dy}{dx}\).
\[ -18x^3 + 7x^{36}y + y^2 = -10 \]
\[
\frac{dy}{dx} = \frac{18x^2(3 - 14x^{33}y)}{7x^{36} + 2y}
\]
Now, find the equation of the tangent line to the curve at (1, 1). Write your answer in \( mx + b \) format.
\[ y = \]
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