In calculus, there are times when you need to use difficult computation and manipulation techniques to solve integrations, derivations and other types of problems. In addition, doing hand calculations for these problems can be long and cumbersome. Learning to use a graphing calculator to do some calculus problems may be a good option.
Instructions
1. Select a graphing calculator that is appropriate for calculus. Older models are less powerful whereas newer ones may have computer algebra system capability so choose a model that has at least the following features: ability to numerical calculate the derivative of a function and the value of a definite integral, find zeros of functions and plot the graph of functions.
2. Read the manual thoroughly for the model you select and familiarize yourself with the basic keys and the different functions keys used for calculus.
3. Learn to use the different function keys by following the manual instructions for each key. Be sure you know which keys you use to calculate derivatives, definite integrals and graph functions. Note that these are just some of the basic calculus problems you can do with a graphing calculator.
4. Gain proficiency by practicing how to do calculus problems with your calculator. As an example let's see how to calculate the numerical derivative for the function F(x) = x² -2x+ 1 for x=3.
5. Solve the function in Step 4 by turning on the calculator and pressing the following keys: "2nd" "Quit" "Math" "8." You see nDeriv( written on the screen. Input the function and arguments by pressing the following keys: "X,t,θ,n" "x²" "-" "2" "X,t,θ,n" "+" "1" "," "X,t,θ,n" "," "3" ")" then hit " Enter." The screen displays 4 as the answer.
6. Work with online graphing calculator tutorials that provide step by step instructions to solve many different types of calculus problems. This ensures that you acquire greater proficiency in solving a wide range of problems with your calculator.
7. Get assistance from a tutor or teacher. If you have trouble following the manual or using your graphing calculator to do calculus then get one on one help.
Tips & Warnings
- The instructions given in Step 4 are for a TI-83 Plus calculator. Follow the manuals for other models as instructions may vary. See the Resources for information on other models and tutorials.
- Realize that the graphing calculator does not tell us that the derivative of the function in Step 4 is 2x-2 but it does evaluate the derivative for a given value of x. Please note that you can also find the derivative by graphing the function and then using the dy/dx feature from the Calc menu.
- Remember to check your answers by doing a hand calculation to find the derivative and then substituting for the x value.
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