## zmudz one year ago Find the minimum value of $$\frac{x^2}{x-1}$$ for $$x > 1.$$

1. SolomonZelman

What course is this?

2. zmudz

precalc

3. SolomonZelman

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. -------------------------------------------- But you are not familiar with that method, are you?

4. SolomonZelman

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

5. SolomonZelman

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