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The graph of f is shown. State, with rea...

The graph of f is shown. State, with reason, the numbers at which f is not differentiable.

Text Solution

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At x =- 4, f is discontinuous, hence non-differentiable.
At x =- 1, f is continuous but has corner, hence non-differentiable.
At x = 2, f has vertical asymptote, hence non-differentiable.
At x = 5, f has vertical tangent, hence non-differentiable.
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Knowledge Check

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