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Year 12 Methods (Unit 3 & 4) Further differentiation and applications

Differentiating rational powers

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Questions
Question 1
13207

Given that \(f(x)=x\sqrt x \) then \(f'(x) =\)

A.

\(\frac{{3\sqrt x }}{2}\)

B.

\(\frac{{3\sqrt x }}{4}\)

C.

\(\frac{{\sqrt x }}{2}\)

D.

\(\frac{{2\sqrt x }}{3}\)

\(\dfrac{{3\sqrt x }}{2}\)

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