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Show tha the function f (x) = {{:(1+x...

Show tha the function ` f (x) = {{:(1+x"," if x le 2 ,), ( 5-x "," if x gt 2):}` is not differentiable at ` x = 2`.

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To show that the function \( f(x) \) is not differentiable at \( x = 2 \), we need to find the left-hand derivative and the right-hand derivative at that point and check if they are equal. The function is defined as: \[ f(x) = \begin{cases} 1 + x & \text{if } x \leq 2 \\ 5 - x & \text{if } x > 2 ...
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