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Derivative of Implicit Multivariable Function – Calculating first and second order derivatives to a one-variable function – Exercise 3104

Exercise

The equation

y-2\sin y=x

Defines the implicit function

y(x)

Find its first and second order derivatives y'(x), y”(x).

Final Answer


y'(x)=\frac{1}{1-2\cos y}

y''(x)=\frac{-2\sin y}{{(1-2\cos y)}^3}

Solution

Coming soon…

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