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## Homework Statement

Use implicit differentiation to find dy/dx.

## Homework Equations

xe

^{y}- 10x + 3y = 0

## The Attempt at a Solution

= [xe

^{y}+ e

^{y}(y)'] - (10x)' + (3y)' = 0

= xe

^{y}+ e

^{y}(y') - 10 + 3(y') = 0

= y' (e

^{y}+ 3) = 10 - xe

^{y}

= y' = 10 - xe

^{y}/ e

^{y}+ 3y

However, my book says the answer: 10 - e

^{y}/ xe

^{y}+ 3y.

What am I doing wrong?

Thanks!