(B) Given the function $f(x) = x + 2$.First,find the derivative of $f(x)$ with respect to $x$:$f'(x) = \frac{d}{dx}(x + 2) = 1$.Since the derivative $

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(B) Given the function $f(x) = x + 2$.First,find the derivative of $f(x)$ with respect to $x$:$f'(x) = \frac{d}{dx}(x + 2) = 1$.Since the derivative $f'(x)$ is a constant value of $1$ for all $x$,the value of $f'(f(x))$ is also $1$ regardless of the input $f(x)$.Therefore,at $x = 4$,$f'(f(4)) = f'(4 + 2) = f'(6) = 1$.Thus,the correct option is $B$.