Given x^2 + y^2 = 4 , use implicit differentiation to find
\dfrac{dy}{dx} and \dfrac{d^2y}{dx^2} .

**A**. **B**. **C**. **D**. **None of these**. None of these

**A**. **B**. **C**. **D**. **None of these**. None of these

Based on your answers it is possible to determine the behavior of the graph in each of the four quadrants.

In Quadrant I,

so

In Quadrant I,

so

In Quadrant II,

so

In Quadrant II,

so

In Quadrant III,

so

In Quadrant III,

so

In Quadrant IV,

so

In Quadrant IV,

so

You can earn partial credit on this problem.