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mom I need to attach the equations

Your f' is defined only for |R\{-6^{0.5), 6^(0.5)}, actually

how do you figure @Zekarias

f' is not defined at +/-6^(0.5), but it is for all other points as far as I see

-6^(0.5)<|x|<0
I meant

http://www.wolframalpha.com/input/?i=plot%20y%3D(x%5E2-6)%5E(2%2F3)&t=crmtb01
you can see the slope is negative for -6^(1/2)

that I'm not so sure about. I'm thinking on it.

@amistre64 any ideas here?

the derivative on the attachment looks fine; im not sure what the question is tho

but what about the point I brought up?
f' for -6^(1/2)

at -1\[\frac{-*-}{+}=+\]

the subtlties are in how we are not using the "correct" use of a derivative

correct, I would simplify it by making a substitution; then replacing those values in the end

k, thx. I will try that now.