Question

Find the minimum value of
\(\frac{x^2}{x-1}\)
for \(x > 1.\)

Answer 1

What course is this?

Answer 2

precalc

Answer 3

What I would do is:

1) Differentiate the function,

2) Find the critical numbers
(considering where \(f'(x)=0\), and the interval of \(\small (1,\infty)\)

3) Find which critical number has maximum output.
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But you are not familiar with that method, are you?

Answer 4

So, one thing we can do is just to graph the function

Answer 5

`www.desmos.com/calculator`
graph it on that site and that will give you the answer.