The equation $x = f(x)$ has a single root, written as $a$. Confirm by calculation that $a$ is between $1$ and $1.5$.
(b)[3]
Using an iterative formula derived from the equation in part (a), determine $a$ correct to $2$ decimal places. Give each iterate to $4$ decimal places.
(c)[6]
Find $f'(x)$. Hence determine the exact value of $x$ for which $f'(x) = -8$.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Evaluate the relevant expression when $x=1$ and when $x=1.5$” …