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

Given a differentiable function $f (x)$ , the linear approximation of $f (x)$ at the point $x = a$ is a function $L (x) = k x + m$ which passes through the point $(a, f (a))$ and has the same slope as $f$ at that point. Knowing this information, apply it to the function $f (x) = x^{1 / 3}$ with $a = 8$ .