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Question: Implicit Differentiation

Question:Implicit Differentiation

Sirldp 15 Maple 18 , MaplePrimes
June 19 2014
2

 

sin(xy) = x + y

subs( y(x)=y, solve( diff(subs( y=y(x), (1) ),x), diff(y(x),x) ) );

-1

subs( x(xy)=x, solve( diff(subs( x=x(xy), (1) ),xy), diff(x(xy),xy) ) );

cos(xy)

I can not get this answer to come out correctly when using this software please help. the correct answer in the back of the book is 

 

1- y cos(xy)

--------------

x cos(xy) - 1

 

And is there a way that this program can tutor me on how to get this answer intead of spitting out the answer 

the diff tutor only allows for a one sided equation to be entered.
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