Question about Texas Instruments TI-Nspire Graphic Calculator

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Derivative feature does not work

On my TI-Nspire, I go to Menu - Calculations - Numerical Derivative. This appears on the screen: nDeriv(.
I input my expression and variable like this: nDeriv(Xsquared*, x).
Obviously I couldn't type anything to make the superscript 2*
I press "enter" and this is what comes up: -------------------------------------------------------------------------------
Variable is not defined
No value is assigned to variable. Use one of the following commands:
sto----> := Define
to assign variables -------------------------------------------------------------------------------
I'm lost. I thought this was supposed to be an easy feature to use. Any help to be able to calculate derivatives and integrals would be great.

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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.
Here are a few screen captures to illustrate the process.
Derivative feature does not work - 3480e51.jpg

2c6abb7.jpg


cc402d5.jpg

For the numerical integration
Select Calculus (see above)>Numerical Integration>ENTER.
Type in yoDerivative feature does not work - e9470c8.jpg using the template. Here is the procedure illustrated.

96cff2c.jpg



Posted on Jun 17, 2010

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1 Answer

Derivatives


Tell me where the key (or Submenu TAB) is and I will tell you how to use it. Apparently you were living in TI Planet and now have moved to Casio Planet and you need to adjust to the jet lag brought about by the transition.

In Run>Mat press [SHIFT][ MODE] to enter the (Setup).. On the 5th line: Derivative set the selection to ON.
Press Menu then Graph. Enter a function, validate and press F6:Draw.
Once graph is draw press the F1:trace key. A CROSS appears on the graph indicating the default starting position. At the bottom of the screen you see X=, Y=, and dY/dX=
The last one is obviously the value of the derivative at the position of the cross. Move the cursor to another point to see the values X, Y, and dY/dX.
You can also enter a value of X to find Y and dY/dX. Make sure the X-value you enter is in the interval between Xmin and Xmax, the window limits.

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Can the casio fx9750gplus calculator show differentiation/integration etc. for example differentiate 5x^3 and have it show 15x^2?


Sorry to disappoint you but the Casio FX-9750Gplus does not handle symbolic calculations. It does not have a Computer Algebra System or CAS. It can however calculate the numerical integration of a function between two limits, as well as the first and second derivatives of a function at a given point.

  1. To access the numerical integration and differentiation,
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Hello,
I am sorry to disappoint you, the nDeriv ( function can only calculate numerical derivatives of an expression at a point. The dy/dx can do the same thing (calculate the first derivative) at one point on a displayed graph. It can be activated for graphs by pressing TRACE, then [2nd][CALC][6:dy/dx]. If you need the derivative at more than one point you have to press [2nd][CAL] [6:dy/dx] again.

What I said above concerns the native abilities of the calculator. There may be applications you can install to allow computation of 2nd derivatives. look for them on the TI site, or the archive section of ticalc.org. Try deriv

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Hello,
nDeriv( is valid only for real variables.
The syntax is as follows:
nDeriv ( expression, variable, value, epsilon)

expression: the function the derivative of which you want to calculate
variable: the name of the variable in the expression above (usually x)
value: the numerical value of the e x where you evaluate the derivative
epsilon: the numerical value of the tolerance. Default is 1x10^(-3). But you can change it to a smaller value to obtain a more precise result.

To use default value of epsilon
nDeriv ( expression, variable, value)

To use a different epsilon, ex 1x10^(-4)
nDeriv ( expression, variable, value, 0.0001)

nDeriv( A^3 , A, 5., 0.0001) should give you 75

Hope it helps.

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1 Answer

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Hello,

I assume that by anti-derivative you mean the integral. I believe that you can only calculate definite integrals with this calculator. A definite integral requires that you specify the function e.g ln(x), the variable, x, the numerical value of the lower limit, 0.5 and the numerical value of the upper limit , say 2.
Try this: INT(sin(x),x, 0, pi/2)
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Anyway, if you want a decimal result for you calculation above one of the numbers must have a decimal point (instead of writing 2PI write 2.PI.

The TI 89 can do exact calculations. But if you want approximate results any number in the sequence of operations must have the mark of a decimal. Numbers without decimal marks are considered integers, Integer numbers with a decimal mark are treated as floating point numbers ( meaning decimal).

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then I press Enter button, the sreen shows Error...

Please help me to get the answer for this problem. Thank you very much!

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