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Differentiability

2. Intro to Derivatives / Differentiability / Problem 4

Problem 4

Calculate the value of $b$ that makes the function $p (x) = {\begin{matrix} b x, if x < 0 \\ x^{2} - 2 x, if x \geq 0 \end{matrix}$ differentiable everywhere.

A

$0$

B

$2$

C

$negative 2$

D

$1$

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