The graph of f(x, y) = - x 2 - y 2 is shown below and it has a relative maximum. The solution to the above system of equations is the ordered pair (0,0). We now solve the following equations f x(x,y) = 0 and f y(x,y) = 0 simultaneously. We first find the first order partial derivatives. (0,0) is called a saddle point because there is neither a relative maximum nor a relative minimum and the surface close to (0,0) looks like a saddle. MY question is how do I find the sensitivity (partial derivative) in the calculator - a ti nspire cx cas I cannot seem to get it typed in correctly to get. f is stationary at the point (0,0) but there is no extremum (maximum or minimum). f is curving down in the y direction and curving up in the x direction. The graph of f(x, y) = x 2 - y 2 is shown below. Solve the following equations f x(x,y) = 0 and f y(x,y) = 0 simultaneously. It should clear up syntax issues, especially with the examples.Find the critical point(s) of function f defined byįind the first order partial derivatives of function f. You can see the syntax, a description, and examples.
The '$' is very confusing.ĭid you use the key on the HP Prime in the upper left part of the keyboard? To use the key on diff(), select diff() from the Calculus menu in the CAS portion of the toolbox and put it on the Entry Line. May I ask why you are using diff(f(x),$(x,2)) or diff(f(x),x$2)? I've never seen this syntax for a HP Prime ever. Both Versions return a 0, which is not correct.ĭiff(f(x),x) works fine, so does f', f'' and so on.ĭiff(f(x),x), f', and f'' are all some of the correct ways to differentiate the expression/function. In other words, it should work regardless if the user stores it in 'f' or 'f(x)'. So, as I got it now, diff works with expressions only, not with functions?ĭiff() should work with expressions and functions. In your case, if you stick to using 'x' and 'y' (lowercase) then you can "delete" them using: purge() in the CAS view. Make sure you are using the CAS view and make sure that nothing is stored in the variables you are using. Moreover, the 'X' variable is a system variable whose content is always a real number (which may cause issues with symbolic manipulation).ģ. In this activity, students will investigate the derivatives of sine, cosine, natural log, and natural exponential functions by examining the symmetric difference quotient at many points using the table capabilities of the graphing handheld.
You used a mixture of 'x' and 'X' for your variables. Investigating the Derivatives of Some Common Functions.
#Partial derivative ti nspire software#
xy is different from x*y - always be explicit with your operators as no software will be able to tell the difference between the mathematical product \( xy \) from the variable name \( xy \) without explicit operators.Ģ. There are several problems with your command.ġ. But, I've got a problem with this when trying to get partial derivatives or just one variable-derivative.įor example: when I type "diff(x^2-6*xy^2+y^2+10*y+18,X)", it just shows: 2x, taking Y as 0, what I want is to know what is wrong with my calculator or some settings I've chosen before. (08-22-2018 05:53 PM)kjpuma Wrote: Hi world, I'm starting using this hp prime v2.
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