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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
 8 months ago
 8 months 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
 8 months ago
 8 months ago

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satellite73Best ResponseYou've already chosen the best response.0
isn't \(\frac{12}{12}=1\)
 8 months ago

pgpilot326Best ResponseYou've already chosen the best response.0
h/h = 1, limit of 1 as h > 0 is 1
 8 months ago

mathcalculusBest ResponseYou've already chosen the best response.0
well it's square root
 8 months ago

pgpilot326Best ResponseYou've already chosen the best response.0
\[f \left( x \right)=\sqrt[12]{x ^{12}}= x, f'\left( x \right)=1 \text{ so the limit is }1\]
 8 months ago

mathcalculusBest ResponseYou've already chosen the best response.0
question: do you only find the derivative of the first number...ex^
 8 months ago

mathcalculusBest ResponseYou've already chosen the best response.0
or the whole numerator?
 8 months ago

pgpilot326Best ResponseYou've already chosen the best response.0
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.
 8 months ago

mathcalculusBest ResponseYou've already chosen the best response.0
i still don't understand.... :/
 8 months ago

mathcalculusBest ResponseYou've already chosen the best response.0
for any problem if it's more than zero it = to 1...?
 8 months ago

mathcalculusBest ResponseYou've already chosen the best response.0
i tried to find the derivative of that and i got 12.
 8 months ago

mathcalculusBest ResponseYou've already chosen the best response.0
dw:1376183615914:dw
 8 months ago

mathcalculusBest ResponseYou've already chosen the best response.0
dw:1376183642914:dw
 8 months ago
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