Help with a calculus problem....
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Help with a calculus problem....

[From: ] [author: ] [Date: 12-01-10] [Hit: ]
C.D.E.I know its either differentiable or a cusp/corner, but not sure which........
If anyone could explain this to me, that would be awesome!

Let f(x) = x^2 - | x - 4 |. What is the behavior at x=4?

A. Differentiable
B. Corner
C. Cusp
D. Vertical Tangent
E. Discontinuity

I know it's either differentiable or a cusp/corner, but not sure which...

-
It is not differentiable ! The derivative does not exist in x=4 (the derivative is discontinuous in that point, it goes from 2x + 1 to 2x - 1, so A is not possible
D and E or not possible too (though the derivative is discontinuous, the function value is continuous)
So it is B or C (i do not understand the word cusp, my english is bad)
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