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: . Divide by Take the limit as . . So we have: . Therefore: .
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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