(i)[3]
Calculate $f'(x)$.
(ii)[3]
Determine the value of $f(0)$.
(iii)[5]
Find $f(x)$, and then determine the minimum value of $f$.
(c(iii))[5]
Find $f(x)$, and then determine the minimum value of $f$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The function $f$ is defined for $x \geq 0$. It is given that $f$ reaches its minimum when $x = 2$, and that $f''(x) = (4x + 1)^{-\frac{1}{2}}$.