Question

let f(x)=5^x use a small interval to estimate f^1(2)
how do i do this

Answer 1

\[f(x)=5^x\] and you want
\[f'(2)\] is my guess

Answer 2

right f prime of 2-i don't know how to type that either-but it looks like you do!

Answer 3

then i think what you are being asked to do is compute
\[\frac{5^{2+h}-5^2}{h}\] for small values of h, so crank up the calculator and try
\[\frac{5^{2.1}-25}{.1}\] and
\[\frac{5^{2.01}-25}{.01}\] etc

Answer 4

if you want to cheat and go to the "exact" answer i can tell you that is it
\[25\ln(5)\]

Answer 5

cheers thanks.

Answer 6

cheers thanks.

Answer 7

thanks but i don't have to go that far yet...that will probably be in tomorrow's class!
big help though-much appreciated!

Answer 8

yw