Question

how do i simplify ( [3^(3+Δt)] - 3^3 )/Δt

Answer 1

would changing 3^(3+Δt) to (3^3 )*(3^Δt) help?

Answer 2

Δt=h
\[=3^3{(3^h-1)\over h}\]

Answer 3

what should i do next if there's a lim as h --> 0 in front of that?

Answer 4

i need a way for all the h's to cancel out, i think

Answer 5

you are supposed to use this method to find the derivative?

Answer 6

yes

Answer 7

i don't know how to show :\[\lim_{h \to 0} {3^h-1 \over h} = \ln(3)\]

Answer 8

thank you!

Answer 9

the ln3 is what i forgot; i knew something equaled the first part of the equation!

Answer 10

awesome, you're the best

Answer 11

ok ... lol i am lost.