1. (a) Consider a function y in x defined implicitly, for –1 < x < 1, by the equation In y y - - 2 dy of the function. dx Find an expression in x and y for the derivative (b) A curve is described parametrically by x(t) In(sin(t)) %3D y(t) %3D dy in terms of t. dx Find the expression for the derivative

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. (a) Consider a function y in x defined implicitly, for –1 < x < 1, by the equation
In y
y
2
dy
Find an expression in x and y for the derivative
of the function.
dx
(b) A curve is described parametrically by
x(t)
In(sin(t))
%|
y(t)
dy
in terms of t.
dx
Find the expression for the derivative
Transcribed Image Text:1. (a) Consider a function y in x defined implicitly, for –1 < x < 1, by the equation In y y 2 dy Find an expression in x and y for the derivative of the function. dx (b) A curve is described parametrically by x(t) In(sin(t)) %| y(t) dy in terms of t. dx Find the expression for the derivative
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