Mathematics 4024 · O Level · Graphs of functions

Graphs of functions — practice question

The diagram depicts the graph of $y = \dfrac{1}{x} + \dfrac{x}{2}$.
(a)[2]

Use a tangent line to estimate the gradient of the curve when $x = 2$.

(b)[3]

Use a suitable line on the grid to find the solutions of $\dfrac{1}{x} - \dfrac{5x}{2} + 1 = 0$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Tangent drawn at $x=2$

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