Says here, a function f is defined for all real numbers and has the following property: f(a + b) - f(a) = 3(a^2)b + 2b^2. f ' (x) is equal to what?
Basically, are a and b constants or something? How do I find f ' (x)?
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Hello, LeoBloom! A function is defined for all real and: .
Find Recall the defintion: .
They have given us about half of this defintion: .
Take the limit as . .
So we have: .
Wow thanks alot, I can't believe I didn't notice how similar it looked to the definition of a derivative.
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