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mathcalculus

  • 2 years ago

athcalculus HELP: use your knowledge of the derivative to compute the limit given below: lim (x+h)^(12/12)-(x)^(12/12)/h h->0 the derivative that is being calculated is dy/dx

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  1. anonymous
    • 2 years ago
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    isn't \(\frac{12}{12}=1\)

  2. pgpilot326
    • 2 years ago
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    h/h = 1, limit of 1 as h -> 0 is 1

  3. mathcalculus
    • 2 years ago
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    well it's square root

  4. mathcalculus
    • 2 years ago
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  5. mathcalculus
    • 2 years ago
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    dy/dx=12?

  6. pgpilot326
    • 2 years ago
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    \[f \left( x \right)=\sqrt[12]{x ^{12}}= x, f'\left( x \right)=1 \text{ so the limit is }1\]

  7. mathcalculus
    • 2 years ago
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    question: do you only find the derivative of the first number...ex^

  8. mathcalculus
    • 2 years ago
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    f(x)

  9. mathcalculus
    • 2 years ago
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    or the whole numerator?

  10. pgpilot326
    • 2 years ago
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    the limit presented is the difference quotient of the function, which will give you the derivative or slope. the function resolves to f(x) = x, with domain, such that x >= 0. the derivative will be 1 for all x>0.

  11. mathcalculus
    • 2 years ago
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    i still don't understand.... :/

  12. mathcalculus
    • 2 years ago
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    for any problem if it's more than zero it = to 1...?

  13. mathcalculus
    • 2 years ago
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    i tried to find the derivative of that and i got 12.

  14. mathcalculus
    • 2 years ago
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    |dw:1376183615914:dw|

  15. mathcalculus
    • 2 years ago
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    |dw:1376183642914:dw|

  16. mathcalculus
    • 2 years ago
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    oh i got it.....

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