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A function is defined in (0, ∞) by f(x) = {(1 - x^2, f or 0 < x ≤ 1), (1nx, f or 1 < x ≤ 2), (1n2 - 1 + 0.5x, f or 2 < x < ∞)

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A function is defined in (0, ∞) by

f(x) = {(1 - x2, f or 0 < x ≤ 1), (1nx, f or 1 < x ≤ 2), (1n2 - 1 + 0.5x, f or 2 < x < ∞)

Which one of the following is correct in respect of the derivative of the function, i.e., f′(x)?

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1 Answer

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Best answer

Correct option B.

Explanation:

f’(x) = - 2x, 0< x ≤ 1

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