Question

Let \(f(x)=x^2e^{-x}\)

Find the inflection points:

Answer 1

So I got the first derivative as \(\large f'(x)=-e^{-x}(x^2-2x)\)
Second I'm not sure..

Answer 2

Second I got \(\large f''(x)=e^{-x}(x^2-4x+2)\)

Answer 3

ye

Answer 4

So I pretty much just use quadratic formula for the rest?

Answer 5

Since e^-x cant be solved at 0?

Answer 6

Yeah, I guess so.

Answer 7

We'll see how that work out, thanks xD

Answer 8

I'm pretty rusty on these things...been a while, since I've done these problems, I always hated them...curve sketching..bleh.

Answer 9

You did good batman, now let's ride your unicorn back to base instead of the batmobile ;)

Answer 10

Woot Woot :D

Answer 11

Curve sketching is the last of first semester calc, I think.

Answer 12

I got \[\LARGE 2 \pm \sqrt{2}\] but I feel like I'm meissing something..

Answer 13

WOLFRAM

Answer 14

xD

Oh how we're too lazy nowadays >_>