Question: (2) Consider the function f : R* -> R* given by f(x, y, z, w) = (1+x - zy - wy, eyz-, 2ysin(w + x2)).

(2) Consider the function f : R* -> R* given by f(x, y, z, w) = (1+x - zy - wy, eyz-", 2ysin(w + x2)). (a) Find the quadratic approximation J2 f of f at the point P = (0, 0, 0, 0). (b) Now consider the function g : R> > R given by g(x, y, z) = (sin(x - y), ycos(x2 - 22 -1)). We can compose the maps f and g to obtain a smooth function go f : R* - R. Use the chain rule to compute Dp(go f), where P = (0, 0, 0, 0)

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