Question

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

Answer 1

isn't \(\frac{12}{12}=1\)

Answer 2

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

Answer 3

well it's square root

Answer 4

dy/dx=12?

Answer 5

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

Answer 6

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

Answer 7

f(x)

Answer 8

or the whole numerator?

Answer 9

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.

Answer 10

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

Answer 11

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

Answer 12

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