My Ti nspire doesn't have the derivative function

SOURCE: derivative

put a second parenthesis in front of 3X

SOURCE: TI-nspire will not turn on

Yes we changed out the batteries on now the TI-84 will not turn on HELP

SOURCE: Derivative feature does not work

The newer version of the OS 2.0.0.1188 is quite different from the initial version. It would be a good idea to upgrade the OS.
Back to your question. Since I upgraded my calculator, I am unable to illustrate the calculations with screen captures that are meaningful to you. If you do not mind I will show you how to calculate derivatives and integrals using OS Version 2.0.0.1188

In Calculator Mode

1. Press the Menu button.
2. Use down arrow to highlight 4:Calculus or just press 4
3. Select 1:Numerical derivative at a point and press ENTER
4. An entry screen opens where you can select the name of the independent variable (default is x, not X), the point where you want the derivative and whether you calculate the first or the second derivative.
5. After you make your choices, you press ENTER and a template is displayed in calculator screen.
6. All you have to do then is to specify the function you are differentiating.

SOURCE: Finding the second derivative on a TI-84

nderiv(nderiv(sin(x),x,x),x,2)

SOURCE: I downgraded my TI-Nspire's OS

I had this same problem myself and I had to look everywhere to find a solution. You will have to remove the current OS from your device. Heres how.

http://epsstore.ti.com/OA_HTML/csksxvm.jsp?nSetId=101985&nUsePub=NO&jttst0=6_23871,23871,-1,0,&jtfm0=&etfm1=&jfn=ZGC81E19298A9321E38D51491551F331C8CCDA6801E50CC672F84B3EFDF0F6ACEF9DD42026E6C2FF1F9579670CF87CEAF79D

I couldnt use option 2 for some reason and had to use option 4 (complete format, luckily I had backed the files up earlier) but once it was reformatted the device showed up in the software and told me to update the OS. From here you just install the latest OS as you would normally.
The problem with what you and I did is that previous OS versions (1.7 in my case) dont support the keypad, you may be able to use the older version with a different keypad but I'm not sure.
Anyway, I hope you can fix it, good luck.