#32 Find y' if Yu X-T + X.J9+ =XY

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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**Problem #32:**  
Find \( y' \) if \( y\sqrt{x-1} + x\sqrt{y-1} = xy \).

**Explanation:**

The task is to differentiate the given equation with respect to \( x \) to find the derivative \( y' \). To solve this problem, consider using implicit differentiation, which involves taking the derivative of both sides while treating \( y \) as a function of \( x \).
Transcribed Image Text:**Problem #32:** Find \( y' \) if \( y\sqrt{x-1} + x\sqrt{y-1} = xy \). **Explanation:** The task is to differentiate the given equation with respect to \( x \) to find the derivative \( y' \). To solve this problem, consider using implicit differentiation, which involves taking the derivative of both sides while treating \( y \) as a function of \( x \).
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