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Find the derivative of y = z tanh z+ Inv1-z'.

Find the derivative of y = z tanh z+ Inv1-z'.

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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Question
**Question 37:** Find the derivative of \( y = z \tanh^{-1} z + \ln \sqrt{1-z^2} \). a. \(\tanh^{-1} z\) b. \(\sinh^{-1} z\) c. \(\cosh^{-1} z\) d. \(\coth^{-1} z\) e. \(\tanh^{-1} 2z\)
Transcribed Image Text:**Question 37:** Find the derivative of \( y = z \tanh^{-1} z + \ln \sqrt{1-z^2} \). a. \(\tanh^{-1} z\) b. \(\sinh^{-1} z\) c. \(\cosh^{-1} z\) d. \(\coth^{-1} z\) e. \(\tanh^{-1} 2z\)
21. Use differentials to estimate the amount of cubic meters of paint needed to apply a coat of paint 0.18 cm thick to a hemispherical dome with diameter 60 meters.:* - a. \(2.52\pi\) - b. \(3.24\pi\) - c. \(3.82\pi\) - d. \(2.28\pi\) - e. \(4.11\pi\)
Transcribed Image Text:21. Use differentials to estimate the amount of cubic meters of paint needed to apply a coat of paint 0.18 cm thick to a hemispherical dome with diameter 60 meters.:* - a. \(2.52\pi\) - b. \(3.24\pi\) - c. \(3.82\pi\) - d. \(2.28\pi\) - e. \(4.11\pi\)
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