Symbolic math toolbox- Jacobian of a function with respect to an other function?
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I would like to find the jacobian of:
f=[f(x1(t)...x6(t)); ... ;f6(x1(t)...x6(t))]
with respect to:
x(t)=[x1(t);...;x6(t)]
which function could I use?
Is it possible to differenciate a symbolic function with respect to an other symbolic function?
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Walter Roberson
2013년 6월 25일
No, it is not possible to differentiate with respect to a function. In a previous post several months ago I showed how that leads to a contradiction.
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Frederik Rentzsch
2021년 11월 24일
It seems to be possible since Release of R2021b.
syms x1(t) x2(t)
syms f1(x1,x2) f2(x1,x2)
f = [f1 f2];
jacobian(f,[x1 x2])
works as intended but after f1 and f2 are defined x1 and x2 are no symfun-objects anymore. Bug?
Sohini Sarkar
2021년 11월 24일
Also see Functional Derivative: Functional derivative (variational derivative) - MATLAB functionalDerivative (mathworks.com)
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