Determine whether the statement is true or false.

Question

d
dx |x2 + x| = |2x + 1|

Answer 1

Determine on what intervals you have that:

|x^2 + x | = x^2 + x

and where do you have that:

|x^2 + x | = -(x^2 + x)

You can then compute the derivative on these intervals and see if what you get is the same as |2x + 1| for all x.