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Using the Difference Quotient on the TI Nspire

Unread postPosted: 23 Jul 2016, 04:20
by DCombo
:48tinscxcas: Hello guys, I'm still learning how to do more advanced techniques with the TI-Nspire. Can you help me figure this one problem that I'm having out?

I'm using the right difference quotient. f(x+h)-f(x)/h

For (fx) = x^2-4x+7, find f(x+h)-f(x)/h

msec =

TI Nspire Function
rightdiff(x,h):= f(x+h)-f(x)/h

when I plugin rightdiff(x^2-4x+7, h) The answer is not coming out reduced as 2x+h-4.

Re: Using the Difference Quotient on the TI Nspire

Unread postPosted: 23 Jul 2016, 10:15
by Adriweb
You meant
$mathjax$\dfrac {f \left({x + h}\right) - f \left({x}\right)} h$mathjax$
, so you probably forgot parentheses around f(x+h)-f(x), which made only f(x) to be divided by h.

If you type rightdiff(x,h) in, you indeed get 2*x+h-4
Don't type rightdiff(f(x),h) though, as the f(x) is already in the function definition (maybe that was your mistake)

Image

Re: Using the Difference Quotient on the TI Nspire

Unread postPosted: 23 Jul 2016, 15:30
by DCombo
Thank you very much.