[tex] y^{(3)}= 2+xy^3 [/tex](adsbygoogle = window.adsbygoogle || []).push({});

[tex]y^{(4)}=y^3+3xy^2y' [/tex]

[tex]y^{(5)}=6y^2y'+6xy(y')^2+3xy^2y''[/tex]

[tex]y^{(6)}=18y(y')^2+6y^2y''+6x(y')^3+12xyy'y''[/tex]

It has been awhile since I have done implicit differentiation, and I am not quite sure if I have used the chain rule properly in each step. I would greatly appreciated any help you could give me on this.

-Erik

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# Homework Help: Check my differentiation please

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