Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

It is stated that $f(x) = \frac{1}{x^3} - x^3$, for $x > 0$.
(main)[3]

Show that $f$ is a decreasing function.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct derivative: $f'(x) = -3x^4 - 3x^2$” …

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