Solution 11752: Calculating Derivatives on the TI-83 Plus Family of Graphing Calculators.
How can I calculate derivatives on the TI-83 Plus family of graphing calculators?
Please Note: The TI-83 Plus family of graphing calculators can only calculate numeric derivatives.
For Example: Find the numeric derivative of f(x)=x² at x=2
2) Press [Down Arrow] until 8:nDeriv( is selected and press [ENTER].
3) Press [X,T,θ,n] [x²] [,] [X,T,θ,n] [,]  [)] [ENTER].
Additional Note: The TI-83 Plus family of graphing calculators do not have symbolic manipulation capabilities. They cannot find the symbolic derivative of a function. For a list of TI graphing calculators that have the Computer Algebraic System (CAS) please refer to KB#24631.
Please see the TI-83 Plus Family guidebooks for additional information.