I have a problem that involves trying to find the critical numbers of a function.(adsbygoogle = window.adsbygoogle || []).push({});

g(x) = x^1/3 - x^-2/3

I would assume in this instance that Dg = [0, +infinity)

g'(x) = 1/3x^-2/3 - (-2/(3(x^-5/3))

g'x = 1/ 3(x^2/3) + 2/ 3(x^5/3)

Now could you say that g'(0) = undefined, so 0E[0, +infinity) and g'(0) d.n.e therefore, 0 is a critical number of g. However, are there are any other critical numbers in this instance? And if so how do you solve for that?

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# Homework Help: Finding the critical numbers

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