(i)[3]
Find $f'(x)$ as well as $f''(x)$.
(ii)[5]
In a geometric progression, the first, second and third terms are $f(2)$, $f'(2)$ and $k f''(2)$ respectively. Find the value of the constant $k$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
For $x > 0$, the function $f$ is given by $f(x) = (4x + 1)^{\tfrac{3}{2}}$.