Let f(x) = 3-x^2, x _<2 (here x is less than or equal to 2) 4x-9, x<2 Determine whether the graph of y=f(x) has a tangent at x=2. If not, explain why not.
Follow Math Help Forum on Facebook and Google+
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)
View Tag Cloud