Derivative of Implicit Multivariable Function – Calculate a tangent equation with ln – Exercise 4357

Exercise

A function is given by the equation

lny+2yx+y=x,x<0\ln y+\frac{2y}{x+y}=x, x<0

Find the tangent equation to the graph of the given function at the point y=1.

Final Answer


y=x1y=-x-1

Solution

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