## 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

1. satellite73

isn't $$\frac{12}{12}=1$$

2. pgpilot326

h/h = 1, limit of 1 as h -> 0 is 1

3. mathcalculus

well it's square root

4. mathcalculus

5. mathcalculus

dy/dx=12?

6. pgpilot326

$f \left( x \right)=\sqrt[12]{x ^{12}}= x, f'\left( x \right)=1 \text{ so the limit is }1$

7. mathcalculus

question: do you only find the derivative of the first number...ex^

8. mathcalculus

f(x)

9. mathcalculus

or the whole numerator?

10. pgpilot326

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

i still don't understand.... :/

12. mathcalculus

for any problem if it's more than zero it = to 1...?

13. mathcalculus

i tried to find the derivative of that and i got 12.

14. mathcalculus

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15. mathcalculus

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16. mathcalculus

oh i got it.....