alleryIf two functions f and g satisfy f'(x) = g'(x) for all x on an interval, then:
Af = -g
Bf × g = constant
Cf = g
Df and g differ by a constant
Answer & Solution
Correct answer: D. f and g differ by a constant
If f' = g' everywhere, then (f - g)' = 0, so f - g = constant.
**Hence f = g + C. This is the rationale for the '+C' in antiderivatives/indefinite integrals.**
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