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Svetach [21]
3 years ago
8

Help Please!!!!!!!!!!!

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
8 0
What is the question?
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Please answer asap..........<br> ...
skelet666 [1.2K]

Answer:

Option B is tge right answer.

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Lera25 [3.4K]
Assuming the function is

f(x)=\begin{cases}2x&\text{for }x\le1\\bx^2+cx&\text{for }x>1\end{cases}

For f(x) to be differentiable, it necessarily has to be continuous. For this condition to be met, we need

\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1^+}f(x)=f(1)
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For the derivative to exist, the one-sided limits of the derivative must also exist and be equal. We have

f'(x)=\begin{cases}2&\text{for }x1\end{cases}

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\begin{cases}b+c=2\\2b+c=2\end{cases}\implies b=0,c=2
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