## anonymous 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. anonymous

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

2. anonymous

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

3. anonymous

well it's square root

4. anonymous

5. anonymous

dy/dx=12?

6. anonymous

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

7. anonymous

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

8. anonymous

f(x)

9. anonymous

or the whole numerator?

10. 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.

11. anonymous

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

12. anonymous

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

13. anonymous

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

14. anonymous

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15. anonymous

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16. anonymous

oh i got it.....