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Differentiability
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Problem 4
Differentiability
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2. Intro to Derivatives / Differentiability / Problem 4
Problem 4
Calculate the value of
b
b
that makes the function
p
(
x
)
=
{
b
x
, if
x
<
0
x
2
−
2
x
, if
x
≥
0
p\left(x\right)=\begin{cases}bx\text{, if }x<0\\ x^2-2x\text{, if }x\ge0\end{cases}
differentiable everywhere.
A
0
0
B
2
2
C
−
2
-2
D
1
1
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