Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The function $f$ is specified by $f(x) = \frac{1}{3x + 2} + x^2$ for $x < -1$.
(main)[3]

Determine whether $f$ is an increasing function, a decreasing function or neither.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Derivative found correctly: $f'(x) = -3(x+2)^{-2}\times 3 + 2x$, or an equivalent form.

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