x*(x - 4) --------------------- 2/3 / 2\ \(x + 2)*(x - 4) /
(x*(x - 4))/((x + 2)*(x - 4)^2)^(2/3)
/ 2 \ |2*(x - 4) 2*(-8 + 2*x)*(x + 2)| x*|---------- + --------------------| 1 \ 3 3 / ---------------------*(-4 + 2*x) - ------------------------------------- 2/3 4/3 5/3 4/3 (x + 2) *|x - 4| (x - 4)*(x + 2) *|x - 4|
/ / 6*(-2 + x) / 1 2*sign(-4 + x)\ 3*x 6*x \ \ | x*|- ---------- + 2*x*|----- + --------------| + ----- + ------| | | \ -4 + x \2 + x |-4 + x| / 2 + x -4 + x/ 4*x*(-2 + x) | 2*|1 + ---------------------------------------------------------------- - ----------------| \ 3*(2 + x) (-4 + x)*(2 + x)/ ------------------------------------------------------------------------------------------- 2/3 4/3 (2 + x) *|-4 + x|
/ / / 1 2*sign(-4 + x)\ / 1 2*sign(-4 + x)\ / 1 2*sign(-4 + x)\ \ \ | | / 2 \ 6*(-2 + x)*|----- + --------------| 3*x*|----- + --------------| 6*x*|----- + --------------| | | | | 9 | 5 12*DiracDelta(-4 + x) 14*sign (-4 + x) 8*sign(-4 + x) | 36*(-2 + x) 12*x 27*x 24*(-2 + x) \2 + x |-4 + x| / \2 + x |-4 + x| / \2 + x |-4 + x| / 24*x 12*(-2 + x)*sign(-4 + x) 6*x*sign(-4 + x) 12*x*sign(-4 + x)| | | x*|------ + x*|-------- - --------------------- + ---------------- + ----------------| - ----------- + -------- + --------- - ---------------- - ----------------------------------- + ---------------------------- + ---------------------------- + ---------------- - ------------------------ + ---------------- + -----------------| / 6*(-2 + x) / 1 2*sign(-4 + x)\ 3*x 6*x \| | |-4 + x | 2 |-4 + x| 2 (2 + x)*|-4 + x|| 2 2 2 (-4 + x)*(2 + x) -4 + x 2 + x -4 + x (-4 + x)*(2 + x) (-4 + x)*|-4 + x| (2 + x)*|-4 + x| (-4 + x)*|-4 + x|| (-2 + x)*|- ---------- + 2*x*|----- + --------------| + ----- + ------|| | 3*x \ \(2 + x) (-4 + x) / (-4 + x) (2 + x) (-4 + x) / \ -4 + x \2 + x |-4 + x| / 2 + x -4 + x/| 4*|- ------ - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------| \ -4 + x 9 -4 + x / --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 5/3 4/3 (2 + x) *|-4 + x|