(A) Since the derivative measures the rate of change of a function,it is intuitive that the derivative of a constant function is zero at every point.F

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(A) Since the derivative measures the rate of change of a function,it is intuitive that the derivative of a constant function is zero at every point.For $f(x) = 3$,the derivative at any point $x = a$ is given by:$f'(a) = \lim_{h \to 0} \frac{f(a+h) - f(a)}{h} = \lim_{h \to 0} \frac{3 - 3}{h} = \lim_{h \to 0} \frac{0}{h} = 0$.Thus,at $x = 0$,$f'(0) = 0$.At $x = 3$,$f'(3) = 0$.