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Mathematics 14 Online
OpenStudy (anonymous):

Is it valid/normal to say "derive this function"? Is this a correct use of the word "derive"?

OpenStudy (goformit100):

NOPE

OpenStudy (anonymous):

Or do you only say "differentiate this function" or "take the derivative of this function"? This is something I was always a little unclear on...

OpenStudy (anonymous):

derive this function is understandable just not clear

OpenStudy (anonymous):

If you are deriving the function, then you are forming it out of other function or functions. You are not doing anything to the derived function itself.

OpenStudy (anonymous):

e.g. I can derive sin^2 + cos^2 = 1 from the Pythagorean theorem and definitions of sine and cosine. Differentiating sin^2 + cos^2 = 1 is something different.

OpenStudy (anonymous):

If you differentiate a function, you can derive its derivative, but you don't derive a function to find its derivative.

OpenStudy (eyust707):

You can derive 2x from x^2 by using differentiation.

OpenStudy (anonymous):

^ another good example.

OpenStudy (anonymous):

That makes sense. Derive and derivative just seem to go together so well xD

OpenStudy (eyust707):

Derive is used quite broadly... Basically it means that you arrive at a new equation/function using some sort of logic.

OpenStudy (anonymous):

In general terms (not just mathematics), something is said to be derivative, if it is based off something else.

OpenStudy (eyust707):

"The derivative was derived using differentiation." =0

OpenStudy (anonymous):

A non-math example: I can write a derivative work of fiction by deriving it from someone else's story.

OpenStudy (anonymous):

@eyust707 poetic!

OpenStudy (eyust707):

lmao

OpenStudy (eyust707):

I think Im gunna make that my profile description

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