Edit of Theorem

1) The Mean Value Theorem states that on a continuous and differentiable function there is a point where the slope of the function is parallel to the tangent line.If the constant C is between the interval of [a,b] , there is at least one point when the secant line is parallel to the tangent line.

OMG is took me 30 minds to do the graph -_-

The graph shows that after much unwanted calculations for the secant and tangent lines, they appear to be parallel because their is a Constant on the curve of the function that makes the tangent line parallel to the secant line.

2) The Mean value theorem doesn't apply because at x=0 the slope of the tangent line is undefined. Thus there would be no point that is guaranteed to be a point C in the intervals [a,b].

God says that the mean value theorem only works for continuous functions , but this one is a discontinuous.. So god is right. I think.