#### FullOfDoubts

The question is in the picture.

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#### topsquark

Math Team
Have you tried graphing the function for specific values of x? That's where I'd start. You can also do some first derivative work, but I'd start with the graph. (ie. Find the derivative of $$\displaystyle \dfrac{|x - y|}{x + y + 1}$$ by y and set it equal to 0 to find the maximum for a given x.)

-Dan

idontknow

Start here:

#### FullOfDoubts

Have you tried graphing the function for specific values of x? That's where I'd start. You can also do some first derivative work, but I'd start with the graph. (ie. Find the derivative of $$\displaystyle \dfrac{|x - y|}{x + y + 1}$$ by y and set it equal to 0 to find the maximum for a given x.)

-Dan
Have you tried graphing the function for specific values of x? That's where I'd start. You can also do some first derivative work, but I'd start with the graph. (ie. Find the derivative of $$\displaystyle \dfrac{|x - y|}{x + y + 1}$$ by y and set it equal to 0 to find the maximum for a given x.)

-Dan
Actually, when I diffwrentiate the function w.r.t. y, keeping x constant, y just cancels out and x comes to be 1/2 as I equate its derivative to zero

#### topsquark

Math Team
Actually, when I diffwrentiate the function w.r.t. y, keeping x constant, y just cancels out and x comes to be 1/2 as I equate its derivative to zero
Perhaps you should show us how you did the derivative. The y shouldn't cancel out.

-Dan

#### FullOfDoubts

Perhaps you should show us how you did the derivative. The y shouldn't cancel out.

-Dan
Perhaps you should show us how you did the derivative. The y shouldn't cancel out.

-Dan
Am I wrong somewhere in this picture?

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