where is h(x)= |x-1| + |x+2| differentiable and find h'(x)?

Question

help please

Answer 1

The prior answer is total nonsense. The answerer must have badly misread the question.

Anyhow, you can express h(x) as a (different) linear function of x in each of the intervals (-infinity, -2), (-2,1), and (1,infinity) Hence it is differentiable on those intervals -- i.e., everywhere except (possibly) x=-2 and x=1.

Answer 2

Well this type of equation is the same as standard form... y=mx+b it is just another way of asking the question. To solve this problem you use FOIL. Which means you multiply the first variable or number ( x*x) then the outside numbers or vairables ( x*2) the insides ( -1*x) and then the last numbers ( -1*2)