APFIVE Differentiability of a Piecewise Function
Let $$f$$ be the function defined by $$\displaystyle f(x) = \begin{cases} 2x + 5 & \text{for } x < -1 \\ -x^2 + 6 & \text{for } x \geq -1 \end{cases}$$. What is the value of $$\displaystyle f'(-1)$$?
A
$$\displaystyle \text{nonexistent}$$
B
$$\displaystyle -2$$
C
$$\displaystyle 2$$
D
$$\displaystyle 3$$
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