(a) Compute the derivative of the following functions 8(21)- 21 f(x)= [-x₂+x²³²+x²] ₁+₁²+₁² f(x) = -1+I2¬X2X3+X1X2X3 x2+x3-1² (b) Find the zeros of the above functions, i.e., the points xo E R¹ where f(xo) = 0, and evaluate Df(x) at these points. (c) For the first function f: R2 R2 defined in part (a) above, compute D²f(xo) (x, y) where xo = (0, 1) is a zero of f.

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