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Differentiability of a Piecewise Function

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Let ff be the function defined by f(x)={2x+5for x<−1−x2+6for x≥−1\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 f′(−1)\displaystyle f'(-1)?

A

nonexistent\displaystyle \text{nonexistent}

B

2\displaystyle 2

C

−2\displaystyle -2

D

3\displaystyle 3

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