Implicit differentiation on x^3 + y^3 = 4xy + 1

the_ace
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1. use implicit differentiation to evaluate y(prime) for x^3+y^3=4xy+1 at the point (2,1)
 
on Phys.org


An attempt please?
 


(Y=y prime)
3x^2+3y^2Y=4y+4Y
 


Yes you are right. Now, solve for Y and sub in the coordinates.
 


The derivative of y with respect to x is more commonly wriitten as y', not "Y".
 

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