• TuringTest
Suppose that $$f$$ satisfies the equation $f(x+y)=f(x)+f(y)+x^2y+xy^2$for all real numbers $$x$$ and $$y$$. Suppose further that$~~~~~~~~~~~~~\lim_{x\to0}\frac{f(x)}x=1$a) Find $$f(0)$$ b) Find $$f'(0)$$ c) Find $$f'(x)$$
Mathematics

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