In Calculas I've learned that 'F means the integral of a function. SO what does ''F mean, th integral or an integral of a function?
Line said:What's a 2nd derivative and double integral?
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.
Actually, if f= 6x, then 'f= 3x2+ C so "f= x3+ Cx+ D.Hootenanny said:''f = x3 +C
It is precisely when you are asked for the "general solution" that you must have the entire form! x3 does satisfy the conditions but is not the "general solution". Neither is x3+ C. The general function "f such that f= 6x is "f(x)= x3+ Cx+ D.Gelsamel Epsilon said:If you're asked for the general solution x³ is sufficient.