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Re: How to plot derivative directly?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg118089] Re: How to plot derivative directly?
  • From: Helen Read <readhpr at gmail.com>
  • Date: Tue, 12 Apr 2011 05:56:18 -0400 (EDT)
  • References: <inuna0$2au$1@smc.vnet.net>

On 4/11/2011 7:05 AM, =8Aer=FDch Jakub wrote:
> Dear mathgroup,
>
> it seems to me, that response to my question shall be very simple,
> but I cannot find it. :-(
>
> I want to plot the derivative of the function. I would like to do it
> directly, something like:
>
> Plot[D[x^3 - 6 (x + 1)^2 + x - 7, x],{x,-3,8}]
>
> It returns: General::ivar: "-2.99978 is not a valid variable."
>
> I can understand that it is because local variable x from Plot command
> interferes with the x variable from the D[].
>
> Yes I can bypass the problem by:
> deriv = D[x^3 - 6 (x + 1)^2 + x - 7, x]
> Plot[deriv, {x, -3, 8}]
>
> which is fully functional, but as far as I know Mathematica, there must
> be some simple solution how to do it directly inside the Plot[].
>
> Thanks in advance for kick-off

Well, you can do this:

Plot[Evaluate[D[x^3 - 6 (x + 1) 2 + x - 7, x]], {x, -3, 8}]


But I think it's worth defining your function as a function.

g[x_] := x^3 - 6 (x + 1) 2 + x - 7

Plot[g'[x], {x, -3, 8}]

--
Helen Read
University of Vermont



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