A system of the type i = f(x), f(x) = -gradV(x), is called a gradient system. Investigate the stability of a fixed point. (Hint: Compute the Lie derivative of V)

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Q: (c) f(x1,x2, x3, X4) = 4x1 + 5x2 – X3 + x4 - (d) f(x1,x2, X3, X4) = -5 exp(x1)+ x2 · X4

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