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...
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)
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)