A) \[{{\left( \frac{y}{x} \right)}^{1/3}}\]
B) \[-{{\left( \frac{y}{x} \right)}^{1/3}}\]
C) \[{{\left( \frac{x}{y} \right)}^{1/3}}\]
D) \[-{{\left( \frac{x}{y} \right)}^{1/3}}\]
Correct Answer: B
Solution :
\[{{x}^{2/3}}+{{y}^{2/3}}={{a}^{2/3}}\] Þ \[\frac{2}{3}{{x}^{-1/3}}+\frac{2}{3}{{y}^{-1/3}}\frac{dy}{dx}=0\] or \[\frac{dy}{dx}=-{{\left( \frac{x}{y} \right)}^{-1/3}}=-{{\left( \frac{y}{x} \right)}^{1/3}}\].
You need to login to perform this action.
You will be redirected in
3 sec
