if x raise to power 2/3 + y raise to power 2/3 = a 2/3 find dy/dx
You asked:
Given \({x}^{\frac{2}{3}} + {y}^{\frac{2}{3}} = a \cdot \frac{2}{3}\) find \(\frac{d}{dx}\left[y\left( x \right)\right]\)
MathBot Answer:
\[\frac{d}{d x} y{\left(x \right)}\left[x^{\frac{2}{3}} + y^{\frac{2}{3}} = \frac{2 a}{3}\right]=- \frac{\sqrt[3]{y}}{\sqrt[3]{x}}\]