# Proving Derivative Existence – A function with parameters – Exercise 1132

Exercise

Given the function (a and b parameters)

$$f(x) = \begin{cases} 2x^2, &\quad x\leq 2 \\ ax+b, &\quad x >2\\ \end{cases}$$

For which values of the function parameters is it differentiable?

$$a=8, b=-8$$