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MathNet 2018-part-05 — 181 problems (EN–VI) Question 156

Math Olympiad Vault · MathNet 2018-part-05 — 181 problems (EN–VI)

Question 156

Which of the following functions is the derivative of the function $f(x)=\frac{1-2x}{\sqrt{2x}}$?
(A) $f'(x)=\frac{-\sqrt{2x}(2x-1)}{4x^2}$
(B) $f'(x)=\frac{-\sqrt{2x}(2x-1)}{8x^2}$
(C) $f'(x)=\frac{-\sqrt{2x}(2x+1)}{4x^2}$
(D) $f'(x)=\frac{-\sqrt{2x}(2x+1)}{8x^2}$
(E) $f'(x)=\frac{-\sqrt{2x}(1-2x)}{4x^2}$