After each click, you’ll need to click again to tell the nSpire where you want the information displayed. Click on the point and the line to get the current location’s information. To get the current coordinates of the point and the equation of the tangent line, use the Coordinates & Equation tool (menu –> 1:Actions –> 8:Coordinates and Equations). Then press ESC to exit the Tangent Line command. You would then click on the polar curve once to select the curve and a second time to place the tangent line.
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Then drop a tangent line on the polar curve (menu –> 8:Geometry –> 1:Points&Lines –> 7:Tangent). So, finding an equation of a tangent line to the polar curve at the point of interest should find the desired result.Ĭreate a graphing window and enter your polar equation (menu –> 3:Graph Entry –> 4:Polar). Remember that a derivative at a point is the slope of the tangent line to the curve at that point. For an example, I’ll use and assume you want the derivative at. The CAS approach is much more accurate, especially in locations where the value of the derivative changes quickly, but I don’t think it’s necessarily more intuitive unless you’re comfortable using CAS commands. There are two ways I imagined to get the polar derivative value, one graphically and the other CAS-powered.
#Absolute value on ti nspire cx how to#
Make sure you do change it back because it will stay in that rectangular mode until you're done with it.The following question about how to compute derivatives of polar functions was posted on the College Board’s AP Calculus Community bulletin board today.įrom what I can tell, there are no direct ways to get derivative values for polar functions. For some reason you may want to keep it in complex mode. Go back to home, go to settings, document settings. When you're done in complex mode you may want to change your calculator back to regular mode. you can also do that calculation as well. So if you wanted to do anything such as here I can do that same one, (7 + 2i) times (4 - 6i). I can do 7 + 2i over 4 - 6i and you get that and it will stay in a fraction form, if you hit ctrl enter it will give you an estimate of those fractions. If I hit ctrl and the divided by sign I get my fraction bar here.
#Absolute value on ti nspire cx plus#
So I can do (7 + 2i) plus (4 - 6i) when I hit enter I get the answer which is 11 - 4i.
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Say I wanted to add 7 + 2i, now the i itself, it's not the i here on your keyboard go to the pi, and then i is right there, it's the second one next to the pi. So, for example if I wanted to add two equations. Square root of 4 is 2 so if it's negative I get 2i. so if I try to find the square root of -4, it should be 2i. And we know the square root of -1 is defined to be i. So if I try the square root of -1 this time I should get an answer, I do I get i. So then we go back to our calculator page. and make sure you make it the default so that changes in all of your documents. And here where it says real or complex we're going to change it to rectangular. So what we're going to do is go to your homepage and go to settings which is number 5, and document settings. But if we want to figure out how to use complex numbers on the calculator we can change that. Which is useful if you are trying to solve equations with real answers and know there is not a real result for your answer.
![absolute value on ti nspire cx absolute value on ti nspire cx](http://scottkeltner.weebly.com/uploads/1/1/0/4/11045107/8409711.jpg)
It's going to say it's a non-real result.
![absolute value on ti nspire cx absolute value on ti nspire cx](http://thecraftycanvas.com/library/files/2012/09/0A.TI-Nspire_cx_cas-home-on-button.jpg)
If I type into my calculator the square root of -1 I'm going to get this warning. Now remember a complex number is defined usually in terms of the square root of -1. Today we're going to show you how to use complex numbers on the TI-nSpire CX CAS.