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frosty8688
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Homework Statement
Sketch the curve of [itex]\sqrt[3]{(x^{2} - 1)^{2}}[/itex][/b]
Homework Equations
The Attempt at a Solution
I determined that the domain is all real numbers, the x-int. is ±1, the y-int. is 1, the function is symmetric about the y-axis, there are no asymptotes, and here is where I get lost. I took the first derivative of the function and found it to be equal to[itex]\frac{2}{3}[/itex] (x[itex]^{2}[/itex] - 1)[itex]^{\frac{-1}{3}}[/itex] * 2x = [itex]\frac{4x}{3\sqrt[3]{x^{2}-1}}[/itex] I know one of the critical numbers is 0 and I am wondering if the other numbers is ±1.
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