Suppose f is a function that satisfies the equation f(x + y) = f(x) + f(y) +

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Suppose f is a function that satisfies the equation
f(x + y) = f(x) + f(y) + x2 y + xy2
for all real numbers x and y, suppose also that
Suppose f is a function that satisfies the equation
f(x +

(a) Find f(0).
(b) Find f'(0)
(c) Find f'(x).

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