- #1
Delber
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Homework Statement
I am given the following function:
[tex]f(x)=\frac{2x^2}{x-1}[/tex]
The question asks to find the critical points and classify each using the second derivative.
Homework Equations
The Attempt at a Solution
I got the derivative of f(x) to be:
[tex]f'(x)=\frac{2x^2-4x}{(x-1)^2}[/tex]
So the critical points are when x=0, x=1, and x=2.
Here's where I'm stuck. I don't know what it means when it asks to classify each using the second derivative.
If it helps, the second derivative is:
[tex] f''(x)=\frac{-8x^2+12x-4}{(x-1)^4}[/tex]
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