How do I evaluate a Jacobian at certain values? For example, I type:
x1,x2,x3 = var('x1 x2 x3')
f1(x1,x2,x3) = 3*x1 - cos(x2*x3) - (1/2)
f2(x1,x2,x3) = x1^2 - 81*(x2 + 0.1)^2 + sin(x3) + 1.06
f3(x1,x2,x3) = e^(-x1*x2) + 20*x3 + (10*pi - 3)/3
f = (f1,f2,f3)
j = jacobian(f, [x1,x2,x3])
I thought it would (intuitively) be:
j(x1=0.1,x2=0.1,x3=-0.1)
But apparently not. Please advise.
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