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Find the greatest value of $k$ for which $f$ is a decreasing function.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The function $f$ is defined by $f(x) = (2x - 1)^{\frac{3}{2}} - 6x$ for $\frac{1}{2} < x < k$, where $k$ is a constant.
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This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Accurate derivative $f'(x)=\frac{3}{2}\sqrt{2x-1}\times2-6$” …
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