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
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 & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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