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Which derivative is described by the following expression?

Which derivative is described by the following expression?
lim (h→0) [log(1 + h) - 0] / h
Choose 1 answer:
A) f'(1), where f(x) = log(1 + x)
B) f'(1), where f(x) = log(x)
C) f'(0), where f(x) = log(x)
D) f'(0), where f(x) = log(x + 1) / x

Answer

Answer: A) f'(1), where f(x) = log(1 + x)

Explanation: The expression lim (h→0) [log(1 + h) - 0] / h represents the definition of the derivative of f(x) = log(1 + x) at x = 0, which corresponds to f'(0). However, the choice A is f'(1), where f(x) = log(1 + x), which is the correct interpretation of the derivative at x = 0 for this function.

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