Question: Find \(\frac{dy}{dx}\) for the circle \({{x}^{2}}+{{y}^{2}}=4\)

1. by differentiating the explicit function of x :
   (assuming that we use the positive branch). This means that
   \[y'=\frac{-2x}{2\sqrt{4-{{x}^{2}}}}=\frac{-x}{\sqrt{4-{{x}^{2}}}}\]
2. by differentiating implicitly:
3. Find where the derivative is positive, where it is negative, where it is zero and where it is undefined.

Price: $2.99

Solution: The downloadable solution consists of 1 pages
Deliverable: Word Document