A student reasons that the functions f(x) = ln[5(x² + 3)⁴] and g(x) = 4 ln(x² + 3) must have the same derivative since he has entered f(x), g(x), f′(x), and g′(x) into a graphing calculator, but only three graphs appear (see the figure). Is his reasoning correct? Are f′(x) and g′(x) the same function? Explain.

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NORMAL FLOAT AUTO REAL DEGREE MP NORMAL FLOAT AUTO REAL DEGREE MP 20 Ploti Plot2 Plot3 NY1Bln(s(x+3)") NY2841N(x?+3) INY4E CY2) |x=x INYS = NY6 = INY7= 10 (A) (B)