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# When are undefined points critical points?

Functions like $$f^{'}(x) = \frac{x^2*(x-1)}{x+2}; x \neq -2$$ has critical pts of $$1$$ and $$0$$, but then to find the increasing and decreasing values of the function, $$-2$$ is added in also. While functions like $$f^{'}(x) = (x^{\frac{-1}{3}})(x+2)$$ has critical pts of $$-2$$ and $$0$$, while $$0^{\frac{-1}{3}}$$ is undefined. I hope this all makes sense! When are the undefined points of a function's derivative critical points? This is probably an easy question for you guys, but the not-so-bright me cannot figure it out.

Note by Asher Joy
3 years, 4 months ago

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