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Find dy/dx by implicit differentiation. 9 cos(x) sin(y) = 1 dy dx

Find dy/dx by implicit differentiation. 9 cos(x) sin(y) = 1 dy dx

Calculus: Early Transcendentals
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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Find dy/dx by implicit differentiation. 9 cos(x) sin(y) = 1 dx 11
Transcribed Image Text:Find dy/dx by implicit differentiation. 9 cos(x) sin(y) = 1 dx 11
Expert Solution
Step 1: Derivative formulas:

Given, 9cos(x)sin(y)=1.

we know, 

fraction numerator d space over denominator d x end fraction left parenthesis sin x right parenthesis equals cos x fraction numerator d space over denominator d x end fraction left parenthesis cos x right parenthesis equals negative sin x fraction numerator d space over denominator d x end fraction left parenthesis c o n s tan t right parenthesis equals 0

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