anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
isn't \(\frac{12}{12}=1\)
anonymous
  • anonymous
h/h = 1, limit of 1 as h -> 0 is 1
anonymous
  • anonymous
well it's square root

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

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