# How do you find #dy/dx# given #x=y+2sqrty#?

##### 2 Answers

Jan 23, 2017

#### Explanation:

We have:

Completing the square at the second member:

we can extract the square root, and as

we have thus made

Jan 23, 2017

#### Explanation:

graph{y+sqrty-x=0 [-10, 10, -5, 5]}

For real x,

Of course, inversely,