How to take time derivatives of a function?
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Christian Aranas
le 25 Juil 2018
Commenté : Roger Bijlani
le 27 Août 2020
My objective is to take the first and second time derivatives of my function for displacement 'x'. I have it modelling a function of displacement over angle with respect to time. Does MATLAB have a function that represents dx/dt? Here are the analytical solutions and my code for reference.



h = 60 ;
b =130 ;
r = 28 ;
w = 2*pi; % angular velocity
t =0:(1/36):1 ;
x = b*(r*sin(w*t))./(h-r*cos(w*t));
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KSSV
le 25 Juil 2018
dxdt = diff(x)./diff(t) ; % derivative of x w.r.t t
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KSSV
le 25 Juil 2018
When we use diff the dimension of vector will be reduced by one. Two options to plot.
v = diff(x)./diff(t) ; % derivative of x w.r.t t
plot(v,t(1:end-1));
OR
v = gradient(x)./gradient(t) ; % derivative of x w.r.t t
plot(v,t);
Roger Bijlani
le 27 Août 2020
Thank you for this answer! All the examples online just show symbolic integration!
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