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Differentiability

2. Intro to Derivatives / Differentiability / Problem 3

Problem 3

Determine whether the following piecewise function is differentiable at $x equals 0$ .
$g (x) = {\begin{matrix} 4 x + \sin x, if x < 0 \\ 2 x^{2}, if x \geq 0 \end{matrix}$

A

Yes

B

No

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