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anonymous

  • 4 years ago

Find ( f -1 )'( a )

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  1. anonymous
    • 4 years ago
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  2. anonymous
    • 4 years ago
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    f^-1*

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  3. anonymous
    • 4 years ago
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    ok you are in luck because \[f(1)=5\] so \[f^{-1}(5)=1\]

  4. anonymous
    • 4 years ago
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    What does the apostrophe mean?

  5. anonymous
    • 4 years ago
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    you want \[f^{-1^'}(5)\] and you do that by finding \[\frac{1}{f'(f^{-1}(5))}\]

  6. anonymous
    • 4 years ago
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    fortunately you know \[f^{-1}(5)=1\] so this becomes \[\frac{1}{f'(1)}\] therefore your actual job is to take the derivative, evaluate it at 1, and then take the reciprocal.

  7. anonymous
    • 4 years ago
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    Ok, sorry I'm slow on this, I'm taking some tests to get ready for college. I'm going to try and work this backwards, they give my 5 answers. I believe that the correct answer is 5/3?

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  8. anonymous
    • 4 years ago
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    i really didn't do it. whatever the derivative is, evaluate at 1 and flip. i can check if you want

  9. anonymous
    • 4 years ago
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    yeah you got it! \[\frac{5}{3}\]

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