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anonymous

  • 5 years ago

There is a critical point of the function f(x)=(e^x)/(x^2+1) at.....

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  1. anonymous
    • 5 years ago
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    \[f'(x)=(e ^{x}(2x)-(x ^{2}+1)e ^{x})/(x ^{2}+1)\]

  2. anonymous
    • 5 years ago
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    find where that is 0

  3. anonymous
    • 5 years ago
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    f'(1)=0

  4. anonymous
    • 5 years ago
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    Should quotient rule be used to differentiate? or Product rule and Chain rule together?

  5. anonymous
    • 5 years ago
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    its quotient rule, i did it for you

  6. anonymous
    • 5 years ago
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    remember d/dx of e^x is e^x so dont get confused

  7. anonymous
    • 5 years ago
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    Should the denominator be (x^2+1)^2?

  8. anonymous
    • 5 years ago
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    oh yes it should be, there you go i didn even pay attention when i did it

  9. anonymous
    • 5 years ago
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    obviously you understand now so thats good

  10. anonymous
    • 5 years ago
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    Yup, thank you!

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spraguer (Moderator)
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