Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The diagram depicts the curve defined by $y = (\ln x)^2 - 2\ln x$. It meets the $x$-axis at $A$ and $B$, and has a minimum at $M$.

(a)[6]

Find the exact gradient of the curve at $A$ and at $B$.

(b)[2]

Find the exact $x$-value of $M$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Find $x = 1$” …