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zmudz

  • one year ago

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

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  1. SolomonZelman
    • one year ago
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    What course is this?

  2. zmudz
    • one year ago
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    precalc

  3. SolomonZelman
    • one year ago
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    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
    • one year ago
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    So, one thing we can do is just to graph the function

  5. SolomonZelman
    • one year ago
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    `www.desmos.com/calculator` graph it on that site and that will give you the answer.

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