Equation with absolute value
Input |
---|
abs(x) |
Alternate form assuming x is positive |
x |
Alternate form assuming x is real |
sqrt(x^2) |
Root |
x = 0 |
Derivative |
d/dx(abs(x)) = x/(abs(x)) (assuming a function from reals to reals) |
Indefinite integral assuming all variables are real |
integral abs(x) dx = 1/2 x^2 sgn(x) + constant |
Global minimum |
min{abs(x)} = 0 at x = 0 |