Differentiate heavy side function

[homo-sapiens]

Homework Statement

find points where function is differentiable
http://puu.sh/cqrc8/f96bd06aee.png

Homework Equations

H(x) = 1, x >= 0
H(x) = 0, x < 0[/B]

The Attempt at a Solution

i Draw a number line and see where the function would change or jump. and immediately i noticed that the function would not be continuous on x=0 and x=2 since that is when the function jumps.
http://puu.sh/cqrBE/44b7fe56ff.png
however i don't see any other discontinuities in the function. if so then what is the last note for? Am i completely missing the point in this question here??[/B]

 

[haruspex]

the function would not be continuous on x=0 and x=2 since that is when the function jumps.

Does it jump at 2? Btw, in your posted working you left out an x in the exponent of f' for x > 2.