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3rd derivative of position

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sajad
sajad 2014-8-8
回答： SHAHZAD 2022-10-10
Hi.
I have question and I will appreciate If you could help me.
I want to calculate the third derivative of position for discrete numbers.
I used the below code for 2nd derivative and I want to know how is the 3rd?
dx = diff(x);dt=diff(t);
v_x = dx./dt;
dt2 = (dt(1:end-1)+dt(2:end))/2;
a_x = diff(v_x)./dt2;
v_x is velocity and a_x is acceleration
thanks

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回答（2 个）

Azzi Abdelmalek
Azzi Abdelmalek 2014-8-8
编辑：Azzi Abdelmalek 2014-8-8
dt=t(2)-t(1)
dy=gradient(y,dt)
dy2=gradient(dy,dt)
dy3=gradient(dy2,dt)
t=t(1:end-3)
dy3=dy3(1:end-3)
plot(t,dy3)
%or using diff
t=0:0.1:2
y=t.^4
y3=diff(y,3)
dt=diff(t)
dy3=y3./dt(1:end-2)
  2 个评论
Erin Browne
Erin Browne 2019-3-14
what would t be equal to?
Torsten
Torsten 2019-3-15
编辑：Torsten 2019-3-15
t can be any vector of the same length as y with t(i+1) - t(i) = dt = constant for all i.

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SHAHZAD
SHAHZAD 2022-10-10
v_x = dx./dt;
dt2 = (dt(1:end-1)+dt(2:end))/2;
a_x = diff(v_x)./dt2;

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