Question

Find local extrema and the intervals on which the function is increasing/decreasing of e^(-0.5x)

Answer 1

is that the entire function?

Answer 2

\[f(x)=e^{-0.5x}\]

Answer 3

Yes it is

Answer 4

that guy just goes down hill

Answer 5

same as \[\frac{1}{e^{.5x}}\] \(x\) gets bigger, fraction gets smaller

Answer 6

I see

Answer 7

no need for calc here if that is the subject
just sheer reason

Answer 8

So i'm confused on what to write down then.

Answer 9

like "show your work"?

Answer 10

Yea :P

Answer 11

\[e^x\] is strictly increasing ergo \(\frac{1}{e^x}\) is strictly decreasing doh
how is that?

Answer 12

Alright. So no maximum

Answer 13

or if you want to be a slave to your math teacher, take the derivative and say it is always negative

Answer 14

Haha it's what I already did lol. Thanks for the help :D

Answer 15

yw