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Derivative of Rational Radical Function

1100BeginnerCalculus

Državno tekmovanje v znanju matematike za dijake srednjih tehniških in strokovnih šol

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) $f'(x)=\frac{-\sqrt{2x}(1-2x)}{4x^2}$
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