A student checks whether F(x)=−cosx+2 is an antiderivative of f(x)=sinx. Which statement is most accurate?
a) F is not an antiderivative because the constant +2 changes F′(x) to sinx+2.
b) F is not an antiderivative because the derivative of −cosx is −sinx.
c) F is an antiderivative because F′(x)=sinx and the constant +2 could be any real number.
d) F is not an antiderivative because the constant must be arbitrary, not the fixed value +2.