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Use implicit differentiation to find `dy/dx`:
`9xy+y^2 = 8x+y`
`dy/dx=`
This problem requires implicit differentiation. Remember to differentiate both sides of the equation with respect to `x`, treating `y` as a function of `x`. When differentiating terms containing `y`, you'll need to use the chain rule and include `dy/dx` in your expression. After differentiating, isolate `dy/dx` to find your final answer.
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Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
`(8-9 y)/(9 x+2y-1)`