While the calculator will not calculate a derivative equation, it will evaluate a derivative at a specific value. Since you will have a calculator allowed sections on the AP Calculus Exam, and often on your in-class tests, I wanted to provide you a method you can use on your calculator to evaluate a derivative at a single value.
There are two places on your calculator that you can evaluate a derivative. I will show you how to do it using the graphing section of your calculator. I do this because older versions of TI-83/84’s don’t have the other option, and because it is often times helpful to see the actual graph of your equation.
Step 1: Plug your original equation, $\textcolor[rgb]{}{f}\textcolor[rgb]{}{\left(}\textcolor[rgb]{}{x}\textcolor[rgb]{}{\right)}$, into Y1 on your calculator.
Hit the Y= button, , in the top left corner of the calculator, and then enter you equation into Y1, , there.
Step 2: Graph the equation.
Hit the graph button, , in the top right corner of the calculator.
Step 3: Select the $\frac{\textcolor[rgb]{}{\mathit{dy}}}{\textcolor[rgb]{}{\mathit{dx}}}$ option from the Calc menu on the calculator.
You will find this option by hitting 2 ^{nd} , , then select the Calc menu (button above Trace at the top of the calculator, , and then choose the #6 $\frac{\textcolor[rgb]{}{\mathit{dy}}}{\textcolor[rgb]{}{\mathit{dx}}}$ option, .
Step 4: Enter the x-value you are wanting to evaluate the derivative at, and then hit the Enter button.
At the bottom of the screen, you will be asked to input the x-value that you want to evaluate the derivative at. Type in that value, , and hit Enter, .
IMPORTANT:
Step 5: Read the answer at the bottom of the calculator screen.
If you did everything right, then at the bottom of your calculator screen you will see $\frac{\textcolor[rgb]{}{\mathit{dy}}}{\textcolor[rgb]{}{\mathit{dx}}}$= Your Answer , .