Multiple choice general knowledge math & puzzles

If functions f and g are such that f(x) = g(x) + k where k is a constant, then

  1. f '(x) = g '(x) + k

  2. f '(x) = g '(x)

  3. f '(x) = g "(x) + k

  4. None of the above
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B Correct answer
Explanation

When two functions differ by a constant k, their derivatives are equal because the derivative of any constant is zero. If f(x) = g(x) + k, then f'(x) = g'(x) + 0 = g'(x). This is a fundamental property of derivatives in calculus.

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