THE DIFFERENCE OF ANY TWO PRIMATIVES OF A GIVEN FUNCTION IS A CONSTANT: PROOF

ASSUME IT IS NOT A CONSTANT,

I. E. F1(x) - F2(x) = G(x)

THEN

dG(x)/dx = limx --> 0{[F1(x + h) - F1(x)]/h -

[F2(x + h) - F2(x)]/h} = f(x) - f(x) = 0

BUT ONLY THE DERIVATIVE OF A CONSTANT CAN BE ZERO

? G(x) IS A CONSTANT

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