- #1

- 58

- 3

- Thread starter 5P@N
- Start date

- #1

- 58

- 3

- #2

Mark44

Mentor

- 34,331

- 5,975

Do you really mean ##n * x^n - 1##? That's what you wrote. As inline text,Call me crazy, but I do recall the power rule of integration viz: f(x) = x^n, f(x)' = n*x^n-1.

Yes. ##d/dx(2x^2) = 4x##.5P@N said:Therefore, it seems as though 2x^2 would have a derivative of 4x.

Maybe they're working a different problem.5P@N said:Fine. So why have I encountered someone else claiming that it's 8x? WHAT?! Who's right?

- #3

S.G. Janssens

Science Advisor

Education Advisor

- 931

- 707

I can think of many reasons, but none of them involve mathematics.So why have I encountered someone else claiming that it's 8x?

- #4

- 58

- 3

- #5

S.G. Janssens

Science Advisor

Education Advisor

- 931

- 707

You are right, the other person must have a brain worm. Also, I would write ##f'(x)## instead of ##f(x)'##.

EDIT: Could you*prove* that the other has a brain worm?

EDIT: Could you

Last edited:

- #6

- 58

- 3

And just for the record: I meant DERIVATION, not integration.

- #7

Mark44

Mentor

- 34,331

- 5,975

Contrary to much popular opinion, the opposite of integration isAnd just for the record: I meant DERIVATION, not integration.

- #8

fresh_42

Mentor

- 13,842

- 11,046

Thanks for clarifying. I sometimes get confused because the result of differentiation is a derivative (obeying the product rule) and the result of integration is an anti-derivative. Is that correct or am I still confusing terms?Contrary to much popular opinion, the opposite of integration isdifferentiation, not derivation. You canderivethe quadratic formula using the completion of squares technique, but youdifferentiate##2x^2## to get the derivative, 4x. Yes, English is weird...

- #9

Mark44

Mentor

- 34,331

- 5,975

No, you have it right.Thanks for clarifying. I sometimes get confused because the result of differentiation is a derivative (obeying the product rule) and the result of integration is an anti-derivative. Is that correct or am I still confusing terms?

- #10

Erland

Science Advisor

- 738

- 136

Perhaps "someone else" meant (2x)^{2}, which has the derivative 8x.

- Last Post

- Replies
- 4

- Views
- 12K

- Replies
- 8

- Views
- 6K

- Replies
- 6

- Views
- 2K

- Replies
- 6

- Views
- 2K

- Last Post

- Replies
- 1

- Views
- 29K

- Replies
- 4

- Views
- 2K

- Last Post

- Replies
- 4

- Views
- 2K

- Replies
- 11

- Views
- 3K

- Replies
- 1

- Views
- 2K

- Last Post

- Replies
- 2

- Views
- 648