Question

implicit differentiation help

http://gyazo.com/53dfb49c3ca8d1a3b949b4f9f2afa67c

Answer 1

hello again.

Answer 2

\[x ^{\frac{ 2 }{ 3 }}+y ^{\frac{ 2 }{ 3 }}=4,(-3\sqrt{3},1)\]

Answer 3

Hey did I work with you already?

Answer 4

yh yesterday. :P

Answer 5

ah ok.

Answer 6

\[\frac{ 2 }{ 3 }x ^{\frac{ -1 }{ 3 }}+\frac{ 2 }{ 3 }y ^{\frac{ -1 }{ 3 }}\frac{ dy }{ dx }=0\]

Answer 7

\[\frac{ dy }{ dx }(\frac{ 2 }{ 3 }y ^{\frac{ -1 }{ 3 }})=-\frac{ 2 }{ 3 }x ^{\frac{ -1 }{ 3 }}\]

Answer 8

\[\frac{ dy }{ dx }=-\frac{ \frac{ 2}{ 3 }x \frac{ -1 }{ 3 } }{ \frac{ 2 }{ 3 }y \frac{ -1 }{ 3 } }\rightarrow \frac{ dy }{ dx }=-\frac{ \sqrt[3]{y} }{\sqrt[3]{x} }\]

Answer 9

Hopefully this is the correct equation, but I'm not sure as to why the question would give you the coordinate -3sqrt(3),1 to find the equation.