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MathGroup Archive 2000

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Re: Implicit Derivatives

  • To: mathgroup at
  • Subject: [mg26206] Re: Implicit Derivatives
  • From: "Paul Lutus" <nospam at>
  • Date: Sat, 2 Dec 2000 02:10:35 -0500 (EST)
  • References: <9074vq$>
  • Sender: owner-wri-mathgroup at

"Tom De Vries" <tdevries at> wrote in message
news:9074vq$b19 at
> Hello everyone,
> I am teaching a high school calculus class and we are using Mathematica
> part of the course work.   In the book CalcLabs with Mathematica  they
> a procedure for finding an Implicit Derivative.    Here is an example with
> 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?

Here is one approach:

f = (3 x y[x] == x^3 + y[x]^3)

soln = Solve[D[f, x], y'[x]]


Paul Lutus

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