Question

Evaluate the given expression.

d
dx
[2(x2 + 3|x|)]
1

Answer 1

I am guessing you want the derivative of the piecewise-continuous function

f(x) = 2(x^2 + 3|x|) ,

but what does the "1" represent?

If you want the derivative at x=1, you can remove the | | signs

Answer 2

For |x|, we have 2 situations.
|x| = x, for x >= 0
|x| = -x, for x < 0

So:
¤ for x>=0:
d/dx (2(x^2 + 3x)) = ?
¤ for x<0:
d/dx (2(x^2 - 3x)) = ?