Consider the interesting curve below which is described by the equation cosh(sinh(v))=V1+x? Determine an expression for y'=- dy (your expression will contain both x and y dx functions). Use your calculations to answer questions 1 to 4 below. 1. The derivative with regards to x of sinh(y) is 2 2. Using the chain rule the derivative of cosh(sinh (v) with regards to x is 3 3. The derivative of v1+x? is 2 dy 2 4. The simplified version of y'= in terms of x and y is dx

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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Consider the interesting curve below
which is described by the equation
cosh(sinh(v))=V1+x?
Determine an expression for y'=
dy
(your expression will contain both x and y
dx
functions). Use your calculations to answer questions 1 to 4 below.
1. The derivative with regards to x of sinh(y) is
2
2. Using the chain rule the derivative of cosh sinh
(v*)) with
3
regards to x is
3. The derivative of v1+x2 is
2
dy
2
4. The simplified version of y'=
in terms of x and y is
dx
Transcribed Image Text:Consider the interesting curve below which is described by the equation cosh(sinh(v))=V1+x? Determine an expression for y'= dy (your expression will contain both x and y dx functions). Use your calculations to answer questions 1 to 4 below. 1. The derivative with regards to x of sinh(y) is 2 2. Using the chain rule the derivative of cosh sinh (v*)) with 3 regards to x is 3. The derivative of v1+x2 is 2 dy 2 4. The simplified version of y'= in terms of x and y is dx
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