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anonymous

  • 5 years ago

How do you find critical points? (get at least 2 of the 3 acceptable answers)

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  1. anonymous
    • 5 years ago
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    are you asking a method?

  2. anonymous
    • 5 years ago
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    yeah, for example I know that you can find critical points by taking the derivative and setting it equal to zero, but what are the other possible ways?

  3. anonymous
    • 5 years ago
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    You can plot a graph and then see the critical points - that's another method.

  4. anonymous
    • 5 years ago
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    There's one more way, but I cant seem to get it. :/

  5. anonymous
    • 5 years ago
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    yes..or plot on a sign diagram...(never liked that way) for example, f(x)=(x-1)^2 factor out f(x)=(x=1)*(x-1), set x+1=0 set x-1=0. these will be crit. points

  6. anonymous
    • 5 years ago
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    oops..f(x)=(x+1)*(x-1)

  7. anonymous
    • 5 years ago
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    So, to find critical points are you saying we just factor out the function and set it equal to zero (instead of taking the derivative?)

  8. anonymous
    • 5 years ago
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    my mistake...been a while. no done for first derivative...

  9. anonymous
    • 5 years ago
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    are you trying to get the relative max and min, or also the absolutes?

  10. anonymous
    • 5 years ago
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    For this question?

  11. anonymous
    • 5 years ago
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    no..just trying to get context, since the 2nd der. will give absolutes

  12. anonymous
    • 5 years ago
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    I'm sorry, Im confused.

  13. anonymous
    • 5 years ago
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    well..me too. you want 3 ways, in general, to find the critical values?

  14. anonymous
    • 5 years ago
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    Yes.

  15. anonymous
    • 5 years ago
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    the critical points are max, min and points of inflexion.

  16. anonymous
    • 5 years ago
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    ok

  17. anonymous
    • 5 years ago
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    ok. 2nd derivatives are the inflection points

  18. anonymous
    • 5 years ago
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    1. Find the derivative and set it to 0. This way, you get max and min. The second derivative should give you points of inflexion. 2. Plot the equation on a graph and find the max, min and inflexion points visually. 3. Use a computer/calculator ;)?

  19. anonymous
    • 5 years ago
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    calculator. hehehe

  20. anonymous
    • 5 years ago
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    lol, maybe so. Thanks, guys (:

  21. anonymous
    • 5 years ago
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    good luck

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