Question

How is differentiation different from derivation? (Pun not intended)

Answer 1

to "derive" a formula is to show that a formula is true
for instance we "derive" the power rule from the difference quotient.
using the power rule itself is the act of differentiation

Answer 2

...basically a derivation is a proof
I'm sure there is some small technical difference between the two terms, but I don't know it :S

Answer 3

it seems that they are used sometimes instead of each other.
http://www.pinkmonkey.com/studyguides/subjects/calc/chap4/c0404301.asp

LOL ... my teacher always said, "if the function is derivable at x=a .... "

Answer 4

oh that seems terribly confusing...
"if a function is differentiable..." should be the terminology I believe.

Answer 5

later somebody told me "I've never heard of derivable, why don't you say differentiation .. ". LOL ... and i never heard that word on OS.

Answer 6

let's google "derivable"!

Answer 7

http://www.enotes.com/math/q-and-a/prove-that-function-f-x-x-2-derivable-0-1-190739
well here is an example of someone using the terms differentiable and derivable interchangeably, so now I'm not so sure

Answer 8

lol ... when i put "derivable" and "derivable function" .... i get complete different answers.

Answer 9

would it help to specify: how is 'taking derivative of [ ]' different from differentiating [ ] ? Also, how is differentiating different from differentiating with respect to ( )"

Answer 10

I think i should look up a synonym for 'different' because that just looks retarded xD

Answer 11

in this one on MSE (which is a reputable site) the person who says derivable gets corrected, so I think "derivable" is the wrong term here.
http://math.stackexchange.com/questions/101252/how-to-demonstrate-derivability

Answer 12

i suggest the use of "differentiation" since i have't heard much use of that term.

Answer 13

"Differentiable - The derivative can be taken" which makes it sound that differentiation is used quite interchangeably with derivation - but I know they are not the same ! :S

Answer 14

like I said above
to "derive" a formula is to prove that it is valid
hence I guess "derivable" (though I am not familiar with the term) means that the formula can be derived (proven)

"can be proven" is different than "can be differentiated", right?

Answer 15

when letting [delta]x approach (->) 0 this is differentiating, and the result we get is the derivative?

Answer 16

i think
'deriva' tive
derivable

it comes this way.
LOL