Science:Math Exam Resources/Courses/MATH110/April 2019/Question 07 (b)/Hint 1

Given a twice-differentiable function $f(x)$, its quadratic approximation at a point $x=a$ is a function $Q(x)=kx^{2}+lx+m$ such that $Q{\text{ and }}f$ have the same value, slope and second derivative at a. In this case $f(x)=x^{1/3}$ and the point $a=8$.