Let f(x) = 3-x^2, x _<2 (here x is less than or equal to 2)
Determine whether the graph of y=f(x) has a tangent at x=2. If not, explain why not.
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f continuous in x=2.
f is differentiable in a vicinity of x=2.
So f is not differentiable in x=2 and the graph has not a single tangent. The graph has two semitangents (x=2 is an angular point)
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