Calculus help

[Lonyo]

How does e^4x - e^2x - e^x - e^4x simplify?
Does it just go to e^-3x?

And if not, can anyone explain what it does and how you work it out?

TIA.

 

[StageLeft]

It simplifies down to bullsh*t 🙂 Hey, somebody was going to say it!

 

[JoPh]

e^4x cancles with -e^4x

leaving - e^2x - e^x

for some reason i thinks that as far. i dont think u can combine exponents or something since they are different. but i dont remember. its been a long time.

 

[dullard]

Originally posted by: JoPh
e^4x cancles with -e^4x

leaving - e^2x - e^x

What does this algebra have to do with calculus?

 

[JoPh]

i think this is the rule to reduce exponents when add/sub

Exponents must be the same (Collecting Like Terms).

 

[JoPh]

http://www.fbns.net/lordkudo/math/exponent.htm

rules 9 and 10 apply to your problem.

 

[Alphathree33]

How does

x + y + z - x

simplify?

...

this is not calculus, this is grade 6

 

[TuxDave]

Boooo... isFAAAAAAAAAAAAAAAAAAAAAAR below calculus.

 

[Heisenberg]

Error 404: Teh calculus not found

 

[everman]

Seems like more students tend to have problems with the algebra involved than things like derivatives and integrals etc.

 

[DrPizza]

Oh definitely. Most of my students breeze through the calculus steps, only to be hung up on the algebra stuff (or vice versa - get hung up on the algebra that occurs before the calculus step)

(defining the "calculus step" to be the step during which they actually integrate or differentiate)

 

[hdeck]

Originally posted by: Heisenberg
Error 404: Teh calculus not found

LOL:beer:

 

[SuPrEIVIE]

calculus machine* pleaze depozit a total of 2 dollarz and 20 centz in the paypal zlot below







J/k would like to help you if i could

 

[Dark4ng3l]

Actually the most simplified answer would be (-e^x)(e^2 + 1)

 

[oboeguy]

Originally posted by: Dark4ng3l
Actually the most simplified answer would be (-e^x)(e^2 + 1)

That's what I was going to write.

IMO, the difficulties folks have with algebra start with poor understanding (and therefore teaching) of fractions. It's depressing to think how many people think they are "just bad at math" because they had a crappy fourth grade math teacher.

 

[ClueLis]

Originally posted by: Dark4ng3l
Actually the most simplified answer would be (-e^x)(e^2 + 1)

The exponents don't break up that way. It would be (-e^x)(e^x+1)

Edit: note that e^2x=(e^x)^2

 

[oboeguy]

Originally posted by: ClueLis

Originally posted by: Dark4ng3l
Actually the most simplified answer would be (-e^x)(e^2 + 1)

The exponents don't break up that way. It would be (-e^x)(e^x+1)

Edit: note that e^2x=(e^x)^2

Whoops, good call. Must have been a typo by Dark. Didn't see that at first.