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Implicit Derivatives

  • To: mathgroup at smc.vnet.net
  • Subject: [mg26193] Implicit Derivatives
  • From: "Tom De Vries" <tdevries at shop.westworld.ca>
  • Date: Thu, 30 Nov 2000 22:02:11 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Hello everyone,

I am teaching a high school calculus class and we are using Mathematica for
part of the course work.   In the book CalcLabs with Mathematica  they give
a procedure for finding an Implicit Derivative.    Here is an example with a
familiar equation....

eq = (3 x y == x^3 + y^3)

eqNew = eq /. y -> y[x]

deqNew = D[eqNew, x]

soln = Solve[deqNew, y'[x]]


I am wondering if there are other ways to get a similar result to this. 
This method makes sense to me but I wondered if there was a more direct
approach?   I could not find any information using the Help feature but
perhaps I was just looking in the wrong places?

Thanks,

Tom De Vries
Alberta, Canada



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