## mathcalculus Group Title 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 11 months ago 11 months ago

1. satellite73 Group Title

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

2. pgpilot326 Group Title

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

3. mathcalculus Group Title

well it's square root

4. mathcalculus Group Title

5. mathcalculus Group Title

dy/dx=12?

6. pgpilot326 Group Title

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

7. mathcalculus Group Title

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

8. mathcalculus Group Title

f(x)

9. mathcalculus Group Title

or the whole numerator?

10. pgpilot326 Group Title

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 Group Title

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

12. mathcalculus Group Title

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

13. mathcalculus Group Title

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

14. mathcalculus Group Title

|dw:1376183615914:dw|

15. mathcalculus Group Title

|dw:1376183642914:dw|

16. mathcalculus Group Title

oh i got it.....