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

  • Thread starter the_ace
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  • #1
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1. use implicit differentiation to evaluate y(prime) for x^3+y^3=4xy+1 at the point (2,1)
 

Answers and Replies

  • #3
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(Y=y prime)
3x^2+3y^2Y=4y+4Y
 
  • #4


Yes you are right. Now, solve for Y and sub in the coordinates.
 
  • #5
HallsofIvy
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The derivative of y with respect to x is more commonly wriitten as y', not "Y".
 

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