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Question: Implicit Differentiation

Question:Implicit Differentiation

rkm 10
implicit-differentation
October 09 2013
1

I have to solve this question

Find d^2y/d^2x and d^3y/d^3x if y is defined implicitly by y+sin(y)=x

 

So far I have 

f:=y+sin(y)=x;

implicitdiff(f,y,x$2);

and

implicitdiff(f,y,x$3);

 

both of them spit out answers, but am I doing that right for the question that is asked?
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