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Re: Correction to "Fundamental Theorem of Calculus and Mathematica"

  • To: mathgroup at smc.vnet.net
  • Subject: [mg100782] Re: Correction to "Fundamental Theorem of Calculus and Mathematica"
  • From: Len <lwapner2 at gmail.com>
  • Date: Sat, 13 Jun 2009 06:06:54 -0400 (EDT)
  • References: <h0sbtl$hdk$1@smc.vnet.net> <h0t856$r80$1@smc.vnet.net>

Hi Simon:

Interesting!  Like you, I get correct results when differentiating
using "D".  But when I differentiate using the prime sign (g'[x] ) I
get the incorrect answer of 0.

Len


On Jun 12, 2:46 am, Simon <simonjty... at gmail.com> wrote:
> Hi Len,
>
> Running both 6.0.3 and 7.0.1, I don't seem to get that problem:
>
> In[1]:= f[x_]:=Integrate[Sin[t^2],{t,0,x}]
>
> In[2]:= D[f[x],x]
> Out[2]= Sin[x^2]
>
> In[3]:= g[x_]:=Integrate[Exp[-t^2],{t,0,x}]
>
> In[4]:= D[g[x],x]
> Out[4]= E^-x^2
>
> Simon



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