(a)[4]
At the point on the curve where $x = a$, the tangent has gradient $-\frac{16}{27}$. Find the possible values of $a$.
(b)[3]
Find $f(x)$ when the curve passes through the point $(-1, 5)$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
For the curve $y = f(x)$, $f'(x) = \frac{-3}{(x + 2)^4}$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Sets the derivative equal to $-\frac{16}{27}$ or an equivalent form” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI