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berkeman

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f = function

f' = derivative of f

f'' = 2nd derivative of f

'f = integral of f

''f = double integral of f

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What's a 2nd derivative and double integral?

- #4

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Line said:What's a 2nd derivative and double integral?

You didn't learn much in calculus did you? A 2nd derivative is pretty much what it sounds like the derivative of a derivative, and sort of similar for a double integral.

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f' = 3x²

f'' = 6x

f'' is just the derivative of f'.

Also, f, is the ''f (double intergral) of f'' so if f = 6x then ''f = x³. I hope that wasn't confusing.

- #6

Hootenanny

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Gelsamel Epsilon said:Also, f, is the ''f (double intergral) of f'' so if f = 6x then ''f = x³. I hope that wasn't confusing.

''f = x

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If you're asked for the general solution x³ is sufficient. :tongue2:

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HallsofIvy

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Actually, if f= 6x, then 'f= 3xHootenanny said:''f = x^{3}+C

I'm very puzzled by

It is precisely when you are asked for the "general solution" that you must have the entire form! xGelsamel Epsilon said:If you're asked for the general solution x³ is sufficient.

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HallsofIvy

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