If the directional derivative of the function z = y2e2x at (2, -1) along the unit vector \(\vec b = \alpha \hat i + \beta \hat j\) is zero, then |α + β| equals

1
\(\frac{1}{{2\sqrt 2 }}\)
2
\(\frac{1}{{\sqrt 2 }}\)
3
√2
4
2√2

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