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Re: How to get the slope of a Interpolation[] function at a specified point?


Unless I have missed your point, you can just use 

        slope = gear'[x]

Note that Gear (with a capital G) is protected - at least under 4.0.

Kevin

The wise words of liwen liwen on 9 Jan 2001 02:20:32 -0500:

> Dear Friends:
>              How are you!
>              I want to get the slope of a
> Interpolation[] function at a specified point,
> for example,here is a Interpolation function :
> geartable={{0,0},{1,1},{2,3},{3,4},{4,6},{5,7},{6,9.5},{7,12},{8,14}};
> Gear=Interpolation[geartable];
> y=Gear[4.5];
> 
> I want to get the slope of Gear function at the point
> of {4.5,y},what should I do ?
> Can I use the FunctionInterpolation[] to make out a
> precise function to find the slope value ?
> Is the FunctionInterpolation[] precise enough to get
> the very precise slope value ?
> 
> Best Regards,
> 
> Liwen   E-mail:  gzgear at yahoo.com
> 
> 
> 
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