Dont understand how they did this derivative

[leonne]

Homework Statement

Dont understand how they did this derivative

Homework Equations

k=(d^2 (I))/dr^2
were(I)(r)=(-gm/r)+(j^2)/2r^2

The Attempt at a Solution

so using the k =... they got [d/dr((GM/r^2)-((j^2)/r^3)
than they got (-2GM/r^3)+((3j^2)/r^4) as answer I know how they got this but don't see how they got the first part like why its GM/r^2 and not -GM/r and why ((j^2)/r^3) and not (j^2)/2r^2 was thinking maybe they multiply and r because its dr^2 but what happen to the 2 in (j^2)/2r^2
thxs

 

[tiny-tim]

hi leonne!

(you must start using the X² icon just above the Reply box … your post is very difficult to read )

… than they got (-2GM/r^3)+((3j^2)/r^4) as answer I know how they got this but don't see how they got the first part like why its GM/r^2 and not -GM/r and why ((j^2)/r^3) and not (j^2)/2r^2 was thinking maybe they multiply and r because its dr^2 but what happen to the 2 in (j^2)/2r^2

i'm confused …

you do know that d²I/dr² is d/dr of dI/dr ?

 

[leonne]

o ok I get it now just take the derivative 2 times ill use the x² next time lol keep on forgetting thxs