mathcalculus
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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anonymous
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isn't \(\frac{12}{12}=1\)
pgpilot326
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h/h = 1, limit of 1 as h -> 0 is 1
mathcalculus
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well it's square root
mathcalculus
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mathcalculus
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dy/dx=12?
pgpilot326
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\[f \left( x \right)=\sqrt[12]{x ^{12}}= x, f'\left( x \right)=1 \text{ so the limit is }1\]
mathcalculus
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question: do you only find the derivative of the first number...ex^
mathcalculus
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f(x)
mathcalculus
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or the whole numerator?
pgpilot326
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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.
mathcalculus
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i still don't understand.... :/
mathcalculus
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for any problem if it's more than zero it = to 1...?
mathcalculus
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i tried to find the derivative of that and i got 12.
mathcalculus
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|dw:1376183615914:dw|
mathcalculus
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|dw:1376183642914:dw|
mathcalculus
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oh i got it.....