HOW WORK 1. Find dy/dx by implicit differentiation. xe^y= x −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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1. Find dy/dx by implicit differentiation.
xe^y= x −y

 

2. Find y′′ by implicit differentiation.
x^3 −y^3 = 7

 

3. Differentiate the function.

a) h(x) = ln(x + √x^2 −1)

(x^2 - 1 is all under the square root)

 

b) y = ln(csc x −cot x)

 

4. Use logarithmic differentiation to find the derivative of the function

y = (ln x)^(cos x)

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