+73 Let
\(f(x)= \begin{cases} -4x^{2}+4x & \text{for } x < 0, \\ 7x^{2}-5 & \text{for } x \geqslant 0. \end{cases}\)
According to the alternate form of the definition of the derivative, to compute \(f'(0)\), we need to compute the left-hand limit
\(\lim \limits _ {x \to 0^-}\) ?, which is ?,
and the right-hand limit
\(\lim \limits _ {x \to 0^+}\) ?, which is ?.
