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## Homework Statement

Find the slope of the tangent line to x tan y = y - 1 when y = pi/4

## Homework Equations

## The Attempt at a Solution

I can't seem to get the derivative. Here's what I do.

First I used the product rule the left side of the equation and got sec^2 x dy/dx + tan y = dy/dx.

When I simplify, I get dy/dy over dy/dx, which just reduces to 1 so I'm having trouble with getting dy/dx on it own.