Example 2-5-1 - Maple Help



Chapter 2: Differentiation



Section 2.5: Implicit Differentiation



Example 2.5.1



 Extract ${y}_{+}\left(x\right)=\sqrt{9-{x}^{2}}$ from ${x}^{2}+{y}^{2}=9$, and show that $F\left(x,{y}_{+}\left(x\right)\right)=0$ is an identity. Obtain ${y}_{+}^{\mathbf{/}}\left(x\right)$ from this explicit representation.