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Given a non-linear system: y=x^3 - 3x^2 - 1 a) Find the linear approximation of the system at the point (1, -3) b) Plot the system and its linear approximation on a same plot using Matlab. Make sure your plot is clear and having labeling

Respuesta :

[tex]\mbox{First, we compute the derivative of $y$ at $x_0=1$. So, we get}\\$ y' = 3x^2 - 6x \, , \, y'(1) = -3 $[/tex].

Therefore, the linear approximation at the point (1,-3) is

[tex]$ y = -3 - 3(x -1) \ . $[/tex]

Ver imagen K314

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