CPM Homework Help : CALC Problem 6-148

The last remaining parent graph without a derivative is the circle $x^2 + y^2 = 1$ . Find $\frac { d y } { d x }$ for this graph.

Hint:

Recall that a circle is NOT a function.
Before differentiating, you could solve for $y$ and get
Then find the derivative of each piece separately, or.....
You could use implicit differentiation!

Implicit differentiation:

$\frac{d}{dx}(x^{2}+y^{2})=\frac{d}{dx}(1)$