are the following statements true or false?

A) if F(x) is an antiderivative of f(x)=x², then F'(x)=2x

B) if F(x) is an antiderivative of f(x), and G(x) is an antiderivative of g(x), then F(x)+G(x) is an antiderivative of f(x)+g(x)

C) if F(x) is an antiderivative of f(x), and G(x) is an antiderivative of g(x), then F(x)*G(x) is an antiderivative of f(x)*g(x)

D) if F₁ and F₂ are two antiderivatives of f, then F₁=F₂